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Finding the Third Proportional to 38,871.56 and 83,271.38

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Solution

The third proportional to 38,871.56 and 83,271.38 is: 178,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.56 : 83,271.38 = 83,271.38 : x
  2. Step 2: Convert to fraction form
    38,871.56/83,271.38 = 83,271.38/x
  3. Step 3: Cross multiply
    38,871.56x = 83,271.38 × 83,271.38
  4. Step 4: Simplify right side
    38,871.56x = 6,934,121,894.39
  5. Step 5: Solve for x
    x = 6,934,121,894.39/38,871.56
  6. Step 6: Final answer
    x = 178,385.47

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