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Finding the Third Proportional to 38,655.88 and 83,871.50

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Solution

The third proportional to 38,655.88 and 83,871.50 is: 181,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655.88 : 83,871.50 = 83,871.50 : x
  2. Step 2: Convert to fraction form
    38,655.88/83,871.50 = 83,871.50/x
  3. Step 3: Cross multiply
    38,655.88x = 83,871.50 × 83,871.50
  4. Step 4: Simplify right side
    38,655.88x = 7,034,428,512.25
  5. Step 5: Solve for x
    x = 7,034,428,512.25/38,655.88
  6. Step 6: Final answer
    x = 181,975.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.