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Finding the Third Proportional to 24,734 and 39,882

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Solution

The third proportional to 24,734 and 39,882 is: 64,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 39,882 = 39,882 : x
  2. Step 2: Convert to fraction form
    24,734/39,882 = 39,882/x
  3. Step 3: Cross multiply
    24,734x = 39,882 × 39,882
  4. Step 4: Simplify right side
    24,734x = 1,590,573,924
  5. Step 5: Solve for x
    x = 1,590,573,924/24,734
  6. Step 6: Final answer
    x = 64,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.