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Finding the Third Proportional to 5,654.81 and 12,437.44

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Solution

The third proportional to 5,654.81 and 12,437.44 is: 27,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.81 : 12,437.44 = 12,437.44 : x
  2. Step 2: Convert to fraction form
    5,654.81/12,437.44 = 12,437.44/x
  3. Step 3: Cross multiply
    5,654.81x = 12,437.44 × 12,437.44
  4. Step 4: Simplify right side
    5,654.81x = 154,689,851.57
  5. Step 5: Solve for x
    x = 154,689,851.57/5,654.81
  6. Step 6: Final answer
    x = 27,355.43

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Why These Related Problems?

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