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Finding the Third Proportional to 24,748 and 32,882

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Solution

The third proportional to 24,748 and 32,882 is: 43,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748 : 32,882 = 32,882 : x
  2. Step 2: Convert to fraction form
    24,748/32,882 = 32,882/x
  3. Step 3: Cross multiply
    24,748x = 32,882 × 32,882
  4. Step 4: Simplify right side
    24,748x = 1,081,225,924
  5. Step 5: Solve for x
    x = 1,081,225,924/24,748
  6. Step 6: Final answer
    x = 43,689.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.