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Finding the Third Proportional to 22,016.81 and 34,098.47

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Solution

The third proportional to 22,016.81 and 34,098.47 is: 52,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.81 : 34,098.47 = 34,098.47 : x
  2. Step 2: Convert to fraction form
    22,016.81/34,098.47 = 34,098.47/x
  3. Step 3: Cross multiply
    22,016.81x = 34,098.47 × 34,098.47
  4. Step 4: Simplify right side
    22,016.81x = 1,162,705,571.09
  5. Step 5: Solve for x
    x = 1,162,705,571.09/22,016.81
  6. Step 6: Final answer
    x = 52,809.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.