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Finding the Third Proportional to 22,432 and 48,581

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Solution

The third proportional to 22,432 and 48,581 is: 105,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 48,581 = 48,581 : x
  2. Step 2: Convert to fraction form
    22,432/48,581 = 48,581/x
  3. Step 3: Cross multiply
    22,432x = 48,581 × 48,581
  4. Step 4: Simplify right side
    22,432x = 2,360,113,561
  5. Step 5: Solve for x
    x = 2,360,113,561/22,432
  6. Step 6: Final answer
    x = 105,211.91

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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.