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Finding the Third Proportional to 5,654.81 and 12,422.11

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Solution

The third proportional to 5,654.81 and 12,422.11 is: 27,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.81 : 12,422.11 = 12,422.11 : x
  2. Step 2: Convert to fraction form
    5,654.81/12,422.11 = 12,422.11/x
  3. Step 3: Cross multiply
    5,654.81x = 12,422.11 × 12,422.11
  4. Step 4: Simplify right side
    5,654.81x = 154,308,801.32
  5. Step 5: Solve for x
    x = 154,308,801.32/5,654.81
  6. Step 6: Final answer
    x = 27,288.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.