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Finding the Third Proportional to 56,917 and 62,020

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Solution

The third proportional to 56,917 and 62,020 is: 67,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,917 : 62,020 = 62,020 : x
  2. Step 2: Convert to fraction form
    56,917/62,020 = 62,020/x
  3. Step 3: Cross multiply
    56,917x = 62,020 × 62,020
  4. Step 4: Simplify right side
    56,917x = 3,846,480,400
  5. Step 5: Solve for x
    x = 3,846,480,400/56,917
  6. Step 6: Final answer
    x = 67,580.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.