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Finding the Third Proportional to 23,870 and 51,060

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Solution

The third proportional to 23,870 and 51,060 is: 109,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870 : 51,060 = 51,060 : x
  2. Step 2: Convert to fraction form
    23,870/51,060 = 51,060/x
  3. Step 3: Cross multiply
    23,870x = 51,060 × 51,060
  4. Step 4: Simplify right side
    23,870x = 2,607,123,600
  5. Step 5: Solve for x
    x = 2,607,123,600/23,870
  6. Step 6: Final answer
    x = 109,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.