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Finding the Third Proportional to 39,519.50 and 59,280.38

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Solution

The third proportional to 39,519.50 and 59,280.38 is: 88,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,519.50 : 59,280.38 = 59,280.38 : x
  2. Step 2: Convert to fraction form
    39,519.50/59,280.38 = 59,280.38/x
  3. Step 3: Cross multiply
    39,519.50x = 59,280.38 × 59,280.38
  4. Step 4: Simplify right side
    39,519.50x = 3,514,162,860.14
  5. Step 5: Solve for x
    x = 3,514,162,860.14/39,519.50
  6. Step 6: Final answer
    x = 88,922.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.