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Finding the Third Proportional to 2,531.25 and 3,719.25

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Solution

The third proportional to 2,531.25 and 3,719.25 is: 5,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.25 : 3,719.25 = 3,719.25 : x
  2. Step 2: Convert to fraction form
    2,531.25/3,719.25 = 3,719.25/x
  3. Step 3: Cross multiply
    2,531.25x = 3,719.25 × 3,719.25
  4. Step 4: Simplify right side
    2,531.25x = 13,832,820.56
  5. Step 5: Solve for x
    x = 13,832,820.56/2,531.25
  6. Step 6: Final answer
    x = 5,464.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.