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Finding the Third Proportional to 34,870 and 75,464

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Solution

The third proportional to 34,870 and 75,464 is: 163,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870 : 75,464 = 75,464 : x
  2. Step 2: Convert to fraction form
    34,870/75,464 = 75,464/x
  3. Step 3: Cross multiply
    34,870x = 75,464 × 75,464
  4. Step 4: Simplify right side
    34,870x = 5,694,815,296
  5. Step 5: Solve for x
    x = 5,694,815,296/34,870
  6. Step 6: Final answer
    x = 163,315.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.