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Finding the Third Proportional to 1,014.71 and 2,201.24

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Solution

The third proportional to 1,014.71 and 2,201.24 is: 4,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.71 : 2,201.24 = 2,201.24 : x
  2. Step 2: Convert to fraction form
    1,014.71/2,201.24 = 2,201.24/x
  3. Step 3: Cross multiply
    1,014.71x = 2,201.24 × 2,201.24
  4. Step 4: Simplify right side
    1,014.71x = 4,845,449.97
  5. Step 5: Solve for x
    x = 4,845,449.97/1,014.71
  6. Step 6: Final answer
    x = 4,775.18

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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.