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Finding the Third Proportional to 2,454 and 3,115

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Solution

The third proportional to 2,454 and 3,115 is: 3,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454 : 3,115 = 3,115 : x
  2. Step 2: Convert to fraction form
    2,454/3,115 = 3,115/x
  3. Step 3: Cross multiply
    2,454x = 3,115 × 3,115
  4. Step 4: Simplify right side
    2,454x = 9,703,225
  5. Step 5: Solve for x
    x = 9,703,225/2,454
  6. Step 6: Final answer
    x = 3,954.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.