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Finding the Third Proportional to 5,891.34 and 12,705.19

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Solution

The third proportional to 5,891.34 and 12,705.19 is: 27,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.34 : 12,705.19 = 12,705.19 : x
  2. Step 2: Convert to fraction form
    5,891.34/12,705.19 = 12,705.19/x
  3. Step 3: Cross multiply
    5,891.34x = 12,705.19 × 12,705.19
  4. Step 4: Simplify right side
    5,891.34x = 161,421,789.41
  5. Step 5: Solve for x
    x = 161,421,789.41/5,891.34
  6. Step 6: Final answer
    x = 27,399.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.