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Finding the Third Proportional to 39,500 and 87,006

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Solution

The third proportional to 39,500 and 87,006 is: 191,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,500 : 87,006 = 87,006 : x
  2. Step 2: Convert to fraction form
    39,500/87,006 = 87,006/x
  3. Step 3: Cross multiply
    39,500x = 87,006 × 87,006
  4. Step 4: Simplify right side
    39,500x = 7,570,044,036
  5. Step 5: Solve for x
    x = 7,570,044,036/39,500
  6. Step 6: Final answer
    x = 191,646.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.