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Finding the Third Proportional to 39,953.46 and 86,133.80

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Solution

The third proportional to 39,953.46 and 86,133.80 is: 185,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,953.46 : 86,133.80 = 86,133.80 : x
  2. Step 2: Convert to fraction form
    39,953.46/86,133.80 = 86,133.80/x
  3. Step 3: Cross multiply
    39,953.46x = 86,133.80 × 86,133.80
  4. Step 4: Simplify right side
    39,953.46x = 7,419,030,964.10
  5. Step 5: Solve for x
    x = 7,419,030,964.10/39,953.46
  6. Step 6: Final answer
    x = 185,691.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.