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Finding the Third Proportional to 10,432 and 22,588

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Solution

The third proportional to 10,432 and 22,588 is: 48,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 22,588 = 22,588 : x
  2. Step 2: Convert to fraction form
    10,432/22,588 = 22,588/x
  3. Step 3: Cross multiply
    10,432x = 22,588 × 22,588
  4. Step 4: Simplify right side
    10,432x = 510,217,744
  5. Step 5: Solve for x
    x = 510,217,744/10,432
  6. Step 6: Final answer
    x = 48,908.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.