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Finding the Third Proportional to 42,032 and 63,920

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Solution

The third proportional to 42,032 and 63,920 is: 97,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,032 : 63,920 = 63,920 : x
  2. Step 2: Convert to fraction form
    42,032/63,920 = 63,920/x
  3. Step 3: Cross multiply
    42,032x = 63,920 × 63,920
  4. Step 4: Simplify right side
    42,032x = 4,085,766,400
  5. Step 5: Solve for x
    x = 4,085,766,400/42,032
  6. Step 6: Final answer
    x = 97,206.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.