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Finding the Third Proportional to 34,488 and 52,350

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Solution

The third proportional to 34,488 and 52,350 is: 79,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,488 : 52,350 = 52,350 : x
  2. Step 2: Convert to fraction form
    34,488/52,350 = 52,350/x
  3. Step 3: Cross multiply
    34,488x = 52,350 × 52,350
  4. Step 4: Simplify right side
    34,488x = 2,740,522,500
  5. Step 5: Solve for x
    x = 2,740,522,500/34,488
  6. Step 6: Final answer
    x = 79,463.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.