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Finding the Third Proportional to 26,814 and 35,260.50

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Solution

The third proportional to 26,814 and 35,260.50 is: 46,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814 : 35,260.50 = 35,260.50 : x
  2. Step 2: Convert to fraction form
    26,814/35,260.50 = 35,260.50/x
  3. Step 3: Cross multiply
    26,814x = 35,260.50 × 35,260.50
  4. Step 4: Simplify right side
    26,814x = 1,243,302,860.25
  5. Step 5: Solve for x
    x = 1,243,302,860.25/26,814
  6. Step 6: Final answer
    x = 46,367.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.