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Finding the Third Proportional to 14,882 and 32,432

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Solution

The third proportional to 14,882 and 32,432 is: 70,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882 : 32,432 = 32,432 : x
  2. Step 2: Convert to fraction form
    14,882/32,432 = 32,432/x
  3. Step 3: Cross multiply
    14,882x = 32,432 × 32,432
  4. Step 4: Simplify right side
    14,882x = 1,051,834,624
  5. Step 5: Solve for x
    x = 1,051,834,624/14,882
  6. Step 6: Final answer
    x = 70,678.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.