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Finding the Third Proportional to 34,864 and 75,552

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Solution

The third proportional to 34,864 and 75,552 is: 163,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864 : 75,552 = 75,552 : x
  2. Step 2: Convert to fraction form
    34,864/75,552 = 75,552/x
  3. Step 3: Cross multiply
    34,864x = 75,552 × 75,552
  4. Step 4: Simplify right side
    34,864x = 5,708,104,704
  5. Step 5: Solve for x
    x = 5,708,104,704/34,864
  6. Step 6: Final answer
    x = 163,724.89

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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.