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Finding the Third Proportional to 26,746.50 and 40,226.25

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Solution

The third proportional to 26,746.50 and 40,226.25 is: 60,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746.50 : 40,226.25 = 40,226.25 : x
  2. Step 2: Convert to fraction form
    26,746.50/40,226.25 = 40,226.25/x
  3. Step 3: Cross multiply
    26,746.50x = 40,226.25 × 40,226.25
  4. Step 4: Simplify right side
    26,746.50x = 1,618,151,189.06
  5. Step 5: Solve for x
    x = 1,618,151,189.06/26,746.50
  6. Step 6: Final answer
    x = 60,499.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.