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Finding the Third Proportional to 2,221.17 and 4,801.15

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Solution

The third proportional to 2,221.17 and 4,801.15 is: 10,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.17 : 4,801.15 = 4,801.15 : x
  2. Step 2: Convert to fraction form
    2,221.17/4,801.15 = 4,801.15/x
  3. Step 3: Cross multiply
    2,221.17x = 4,801.15 × 4,801.15
  4. Step 4: Simplify right side
    2,221.17x = 23,051,026.32
  5. Step 5: Solve for x
    x = 23,051,026.32/2,221.17
  6. Step 6: Final answer
    x = 10,377.87

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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.