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Finding the Third Proportional to 902.18 and 1,347.26

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Solution

The third proportional to 902.18 and 1,347.26 is: 2,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.18 : 1,347.26 = 1,347.26 : x
  2. Step 2: Convert to fraction form
    902.18/1,347.26 = 1,347.26/x
  3. Step 3: Cross multiply
    902.18x = 1,347.26 × 1,347.26
  4. Step 4: Simplify right side
    902.18x = 1,815,103.61
  5. Step 5: Solve for x
    x = 1,815,103.61/902.18
  6. Step 6: Final answer
    x = 2,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.