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Finding the Third Proportional to 40,625 and 62,781

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Solution

The third proportional to 40,625 and 62,781 is: 97,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,625 : 62,781 = 62,781 : x
  2. Step 2: Convert to fraction form
    40,625/62,781 = 62,781/x
  3. Step 3: Cross multiply
    40,625x = 62,781 × 62,781
  4. Step 4: Simplify right side
    40,625x = 3,941,453,961
  5. Step 5: Solve for x
    x = 3,941,453,961/40,625
  6. Step 6: Final answer
    x = 97,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.