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Finding the Third Proportional to 22,959 and 48,674

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Solution

The third proportional to 22,959 and 48,674 is: 103,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959 : 48,674 = 48,674 : x
  2. Step 2: Convert to fraction form
    22,959/48,674 = 48,674/x
  3. Step 3: Cross multiply
    22,959x = 48,674 × 48,674
  4. Step 4: Simplify right side
    22,959x = 2,369,158,276
  5. Step 5: Solve for x
    x = 2,369,158,276/22,959
  6. Step 6: Final answer
    x = 103,190.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.