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Finding the Third Proportional to 15,680 and 34,432

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Solution

The third proportional to 15,680 and 34,432 is: 75,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 34,432 = 34,432 : x
  2. Step 2: Convert to fraction form
    15,680/34,432 = 34,432/x
  3. Step 3: Cross multiply
    15,680x = 34,432 × 34,432
  4. Step 4: Simplify right side
    15,680x = 1,185,562,624
  5. Step 5: Solve for x
    x = 1,185,562,624/15,680
  6. Step 6: Final answer
    x = 75,609.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.