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Finding the Third Proportional to 2,234.81 and 3,439.13

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Solution

The third proportional to 2,234.81 and 3,439.13 is: 5,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,439.13 = 3,439.13 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,439.13 = 3,439.13/x
  3. Step 3: Cross multiply
    2,234.81x = 3,439.13 × 3,439.13
  4. Step 4: Simplify right side
    2,234.81x = 11,827,580.77
  5. Step 5: Solve for x
    x = 11,827,580.77/2,234.81
  6. Step 6: Final answer
    x = 5,292.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.