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Finding the Third Proportional to 19,432 and 29,876

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Solution

The third proportional to 19,432 and 29,876 is: 45,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432 : 29,876 = 29,876 : x
  2. Step 2: Convert to fraction form
    19,432/29,876 = 29,876/x
  3. Step 3: Cross multiply
    19,432x = 29,876 × 29,876
  4. Step 4: Simplify right side
    19,432x = 892,575,376
  5. Step 5: Solve for x
    x = 892,575,376/19,432
  6. Step 6: Final answer
    x = 45,933.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.