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Finding the Third Proportional to 1,042.17 and 1,353.80

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Solution

The third proportional to 1,042.17 and 1,353.80 is: 1,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.17 : 1,353.80 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    1,042.17/1,353.80 = 1,353.80/x
  3. Step 3: Cross multiply
    1,042.17x = 1,353.80 × 1,353.80
  4. Step 4: Simplify right side
    1,042.17x = 1,832,765.98
  5. Step 5: Solve for x
    x = 1,832,765.98/1,042.17
  6. Step 6: Final answer
    x = 1,758.60

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.