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Finding the Third Proportional to 15,680 and 23,432

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Solution

The third proportional to 15,680 and 23,432 is: 35,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 23,432 = 23,432 : x
  2. Step 2: Convert to fraction form
    15,680/23,432 = 23,432/x
  3. Step 3: Cross multiply
    15,680x = 23,432 × 23,432
  4. Step 4: Simplify right side
    15,680x = 549,058,624
  5. Step 5: Solve for x
    x = 549,058,624/15,680
  6. Step 6: Final answer
    x = 35,016.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.