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Finding the Third Proportional to 39,753 and 85,021.88

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Solution

The third proportional to 39,753 and 85,021.88 is: 181,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753 : 85,021.88 = 85,021.88 : x
  2. Step 2: Convert to fraction form
    39,753/85,021.88 = 85,021.88/x
  3. Step 3: Cross multiply
    39,753x = 85,021.88 × 85,021.88
  4. Step 4: Simplify right side
    39,753x = 7,228,719,228.52
  5. Step 5: Solve for x
    x = 7,228,719,228.52/39,753
  6. Step 6: Final answer
    x = 181,840.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.