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Finding the Third Proportional to 39,897 and 59,074

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Solution

The third proportional to 39,897 and 59,074 is: 87,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897 : 59,074 = 59,074 : x
  2. Step 2: Convert to fraction form
    39,897/59,074 = 59,074/x
  3. Step 3: Cross multiply
    39,897x = 59,074 × 59,074
  4. Step 4: Simplify right side
    39,897x = 3,489,737,476
  5. Step 5: Solve for x
    x = 3,489,737,476/39,897
  6. Step 6: Final answer
    x = 87,468.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.