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Finding the Third Proportional to 56,971.50 and 62,439

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Solution

The third proportional to 56,971.50 and 62,439 is: 68,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.50 : 62,439 = 62,439 : x
  2. Step 2: Convert to fraction form
    56,971.50/62,439 = 62,439/x
  3. Step 3: Cross multiply
    56,971.50x = 62,439 × 62,439
  4. Step 4: Simplify right side
    56,971.50x = 3,898,628,721
  5. Step 5: Solve for x
    x = 3,898,628,721/56,971.50
  6. Step 6: Final answer
    x = 68,431.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.