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Finding the Third Proportional to 10,432 and 18,192

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Solution

The third proportional to 10,432 and 18,192 is: 31,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 18,192 = 18,192 : x
  2. Step 2: Convert to fraction form
    10,432/18,192 = 18,192/x
  3. Step 3: Cross multiply
    10,432x = 18,192 × 18,192
  4. Step 4: Simplify right side
    10,432x = 330,948,864
  5. Step 5: Solve for x
    x = 330,948,864/10,432
  6. Step 6: Final answer
    x = 31,724.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.