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Finding the Third Proportional to 1,316.57 and 2,013.29

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Solution

The third proportional to 1,316.57 and 2,013.29 is: 3,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.57 : 2,013.29 = 2,013.29 : x
  2. Step 2: Convert to fraction form
    1,316.57/2,013.29 = 2,013.29/x
  3. Step 3: Cross multiply
    1,316.57x = 2,013.29 × 2,013.29
  4. Step 4: Simplify right side
    1,316.57x = 4,053,348.58
  5. Step 5: Solve for x
    x = 4,053,348.58/1,316.57
  6. Step 6: Final answer
    x = 3,078.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.