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Finding the Third Proportional to 39,331.50 and 85,954.50

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Solution

The third proportional to 39,331.50 and 85,954.50 is: 187,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,331.50 : 85,954.50 = 85,954.50 : x
  2. Step 2: Convert to fraction form
    39,331.50/85,954.50 = 85,954.50/x
  3. Step 3: Cross multiply
    39,331.50x = 85,954.50 × 85,954.50
  4. Step 4: Simplify right side
    39,331.50x = 7,388,176,070.25
  5. Step 5: Solve for x
    x = 7,388,176,070.25/39,331.50
  6. Step 6: Final answer
    x = 187,843.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.