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Finding the Third Proportional to 39,442 and 59,573

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Solution

The third proportional to 39,442 and 59,573 is: 89,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,442 : 59,573 = 59,573 : x
  2. Step 2: Convert to fraction form
    39,442/59,573 = 59,573/x
  3. Step 3: Cross multiply
    39,442x = 59,573 × 59,573
  4. Step 4: Simplify right side
    39,442x = 3,548,942,329
  5. Step 5: Solve for x
    x = 3,548,942,329/39,442
  6. Step 6: Final answer
    x = 89,978.76

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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.