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Finding the Third Proportional to 40,398 and 62,013

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Solution

The third proportional to 40,398 and 62,013 is: 95,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398 : 62,013 = 62,013 : x
  2. Step 2: Convert to fraction form
    40,398/62,013 = 62,013/x
  3. Step 3: Cross multiply
    40,398x = 62,013 × 62,013
  4. Step 4: Simplify right side
    40,398x = 3,845,612,169
  5. Step 5: Solve for x
    x = 3,845,612,169/40,398
  6. Step 6: Final answer
    x = 95,193.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.