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Finding the Third Proportional to 45,251 and 59,508

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Solution

The third proportional to 45,251 and 59,508 is: 78,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,251 : 59,508 = 59,508 : x
  2. Step 2: Convert to fraction form
    45,251/59,508 = 59,508/x
  3. Step 3: Cross multiply
    45,251x = 59,508 × 59,508
  4. Step 4: Simplify right side
    45,251x = 3,541,202,064
  5. Step 5: Solve for x
    x = 3,541,202,064/45,251
  6. Step 6: Final answer
    x = 78,256.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.