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Finding the Third Proportional to 913.13 and 2,002.69

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Solution

The third proportional to 913.13 and 2,002.69 is: 4,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 2,002.69 = 2,002.69 : x
  2. Step 2: Convert to fraction form
    913.13/2,002.69 = 2,002.69/x
  3. Step 3: Cross multiply
    913.13x = 2,002.69 × 2,002.69
  4. Step 4: Simplify right side
    913.13x = 4,010,757.22
  5. Step 5: Solve for x
    x = 4,010,757.22/913.13
  6. Step 6: Final answer
    x = 4,392.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.