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Finding the Third Proportional to 21,872 and 47,632

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Solution

The third proportional to 21,872 and 47,632 is: 103,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872 : 47,632 = 47,632 : x
  2. Step 2: Convert to fraction form
    21,872/47,632 = 47,632/x
  3. Step 3: Cross multiply
    21,872x = 47,632 × 47,632
  4. Step 4: Simplify right side
    21,872x = 2,268,807,424
  5. Step 5: Solve for x
    x = 2,268,807,424/21,872
  6. Step 6: Final answer
    x = 103,731.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.