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Finding the Third Proportional to 38,248.88 and 82,852.88

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Solution

The third proportional to 38,248.88 and 82,852.88 is: 179,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248.88 : 82,852.88 = 82,852.88 : x
  2. Step 2: Convert to fraction form
    38,248.88/82,852.88 = 82,852.88/x
  3. Step 3: Cross multiply
    38,248.88x = 82,852.88 × 82,852.88
  4. Step 4: Simplify right side
    38,248.88x = 6,864,598,895.77
  5. Step 5: Solve for x
    x = 6,864,598,895.77/38,248.88
  6. Step 6: Final answer
    x = 179,471.92

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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.