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Finding the Third Proportional to 36,403 and 51,566

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Solution

The third proportional to 36,403 and 51,566 is: 73,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,403 : 51,566 = 51,566 : x
  2. Step 2: Convert to fraction form
    36,403/51,566 = 51,566/x
  3. Step 3: Cross multiply
    36,403x = 51,566 × 51,566
  4. Step 4: Simplify right side
    36,403x = 2,659,052,356
  5. Step 5: Solve for x
    x = 2,659,052,356/36,403
  6. Step 6: Final answer
    x = 73,044.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.