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Finding the Third Proportional to 39,649.13 and 87,184.13

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Solution

The third proportional to 39,649.13 and 87,184.13 is: 191,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649.13 : 87,184.13 = 87,184.13 : x
  2. Step 2: Convert to fraction form
    39,649.13/87,184.13 = 87,184.13/x
  3. Step 3: Cross multiply
    39,649.13x = 87,184.13 × 87,184.13
  4. Step 4: Simplify right side
    39,649.13x = 7,601,071,652.02
  5. Step 5: Solve for x
    x = 7,601,071,652.02/39,649.13
  6. Step 6: Final answer
    x = 191,708.43

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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.