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Finding the Third Proportional to 1,317 and 2,671.88

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Solution

The third proportional to 1,317 and 2,671.88 is: 5,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 2,671.88 = 2,671.88 : x
  2. Step 2: Convert to fraction form
    1,317/2,671.88 = 2,671.88/x
  3. Step 3: Cross multiply
    1,317x = 2,671.88 × 2,671.88
  4. Step 4: Simplify right side
    1,317x = 7,138,916.02
  5. Step 5: Solve for x
    x = 7,138,916.02/1,317
  6. Step 6: Final answer
    x = 5,420.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.