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Finding the Third Proportional to 39,753.28 and 55,713.66

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Solution

The third proportional to 39,753.28 and 55,713.66 is: 78,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753.28 : 55,713.66 = 55,713.66 : x
  2. Step 2: Convert to fraction form
    39,753.28/55,713.66 = 55,713.66/x
  3. Step 3: Cross multiply
    39,753.28x = 55,713.66 × 55,713.66
  4. Step 4: Simplify right side
    39,753.28x = 3,104,011,492.74
  5. Step 5: Solve for x
    x = 3,104,011,492.74/39,753.28
  6. Step 6: Final answer
    x = 78,081.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.