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Finding the Third Proportional to 3,434.06 and 7,397.16

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Solution

The third proportional to 3,434.06 and 7,397.16 is: 15,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.06 : 7,397.16 = 7,397.16 : x
  2. Step 2: Convert to fraction form
    3,434.06/7,397.16 = 7,397.16/x
  3. Step 3: Cross multiply
    3,434.06x = 7,397.16 × 7,397.16
  4. Step 4: Simplify right side
    3,434.06x = 54,717,920.59
  5. Step 5: Solve for x
    x = 54,717,920.59/3,434.06
  6. Step 6: Final answer
    x = 15,933.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.