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Finding the Third Proportional to 14,882 and 32,042

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Solution

The third proportional to 14,882 and 32,042 is: 68,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882 : 32,042 = 32,042 : x
  2. Step 2: Convert to fraction form
    14,882/32,042 = 32,042/x
  3. Step 3: Cross multiply
    14,882x = 32,042 × 32,042
  4. Step 4: Simplify right side
    14,882x = 1,026,689,764
  5. Step 5: Solve for x
    x = 1,026,689,764/14,882
  6. Step 6: Final answer
    x = 68,988.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.