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Finding the Third Proportional to 40,658 and 62,608

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Solution

The third proportional to 40,658 and 62,608 is: 96,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,658 : 62,608 = 62,608 : x
  2. Step 2: Convert to fraction form
    40,658/62,608 = 62,608/x
  3. Step 3: Cross multiply
    40,658x = 62,608 × 62,608
  4. Step 4: Simplify right side
    40,658x = 3,919,761,664
  5. Step 5: Solve for x
    x = 3,919,761,664/40,658
  6. Step 6: Final answer
    x = 96,408.13

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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.