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Finding the Third Proportional to 42,602 and 65,897

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Solution

The third proportional to 42,602 and 65,897 is: 101,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,602 : 65,897 = 65,897 : x
  2. Step 2: Convert to fraction form
    42,602/65,897 = 65,897/x
  3. Step 3: Cross multiply
    42,602x = 65,897 × 65,897
  4. Step 4: Simplify right side
    42,602x = 4,342,414,609
  5. Step 5: Solve for x
    x = 4,342,414,609/42,602
  6. Step 6: Final answer
    x = 101,929.83

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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.