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Finding the Third Proportional to 4,207.22 and 9,110.91

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Solution

The third proportional to 4,207.22 and 9,110.91 is: 19,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.22 : 9,110.91 = 9,110.91 : x
  2. Step 2: Convert to fraction form
    4,207.22/9,110.91 = 9,110.91/x
  3. Step 3: Cross multiply
    4,207.22x = 9,110.91 × 9,110.91
  4. Step 4: Simplify right side
    4,207.22x = 83,008,612.70
  5. Step 5: Solve for x
    x = 83,008,612.70/4,207.22
  6. Step 6: Final answer
    x = 19,730.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.