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Finding the Third Proportional to 34,716.50 and 52,561

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Solution

The third proportional to 34,716.50 and 52,561 is: 79,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.50 : 52,561 = 52,561 : x
  2. Step 2: Convert to fraction form
    34,716.50/52,561 = 52,561/x
  3. Step 3: Cross multiply
    34,716.50x = 52,561 × 52,561
  4. Step 4: Simplify right side
    34,716.50x = 2,762,658,721
  5. Step 5: Solve for x
    x = 2,762,658,721/34,716.50
  6. Step 6: Final answer
    x = 79,577.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.