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Finding the Third Proportional to 20,472 and 31,632

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Solution

The third proportional to 20,472 and 31,632 is: 48,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 31,632 = 31,632 : x
  2. Step 2: Convert to fraction form
    20,472/31,632 = 31,632/x
  3. Step 3: Cross multiply
    20,472x = 31,632 × 31,632
  4. Step 4: Simplify right side
    20,472x = 1,000,583,424
  5. Step 5: Solve for x
    x = 1,000,583,424/20,472
  6. Step 6: Final answer
    x = 48,875.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.