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Finding the Third Proportional to 26,000.25 and 56,151.75

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Solution

The third proportional to 26,000.25 and 56,151.75 is: 121,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.25 : 56,151.75 = 56,151.75 : x
  2. Step 2: Convert to fraction form
    26,000.25/56,151.75 = 56,151.75/x
  3. Step 3: Cross multiply
    26,000.25x = 56,151.75 × 56,151.75
  4. Step 4: Simplify right side
    26,000.25x = 3,153,019,028.06
  5. Step 5: Solve for x
    x = 3,153,019,028.06/26,000.25
  6. Step 6: Final answer
    x = 121,268.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.