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Finding the Third Proportional to 34,518 and 75,497

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Solution

The third proportional to 34,518 and 75,497 is: 165,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518 : 75,497 = 75,497 : x
  2. Step 2: Convert to fraction form
    34,518/75,497 = 75,497/x
  3. Step 3: Cross multiply
    34,518x = 75,497 × 75,497
  4. Step 4: Simplify right side
    34,518x = 5,699,797,009
  5. Step 5: Solve for x
    x = 5,699,797,009/34,518
  6. Step 6: Final answer
    x = 165,125.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.