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Finding the Third Proportional to 38,716.73 and 83,721.09

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Solution

The third proportional to 38,716.73 and 83,721.09 is: 181,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716.73 : 83,721.09 = 83,721.09 : x
  2. Step 2: Convert to fraction form
    38,716.73/83,721.09 = 83,721.09/x
  3. Step 3: Cross multiply
    38,716.73x = 83,721.09 × 83,721.09
  4. Step 4: Simplify right side
    38,716.73x = 7,009,221,538.70
  5. Step 5: Solve for x
    x = 7,009,221,538.70/38,716.73
  6. Step 6: Final answer
    x = 181,038.55

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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.