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Finding the Third Proportional to 29,285 and 63,870

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Solution

The third proportional to 29,285 and 63,870 is: 139,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285 : 63,870 = 63,870 : x
  2. Step 2: Convert to fraction form
    29,285/63,870 = 63,870/x
  3. Step 3: Cross multiply
    29,285x = 63,870 × 63,870
  4. Step 4: Simplify right side
    29,285x = 4,079,376,900
  5. Step 5: Solve for x
    x = 4,079,376,900/29,285
  6. Step 6: Final answer
    x = 139,299.19

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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.