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Finding the Third Proportional to 1,531.25 and 2,052.38

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Solution

The third proportional to 1,531.25 and 2,052.38 is: 2,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.25 : 2,052.38 = 2,052.38 : x
  2. Step 2: Convert to fraction form
    1,531.25/2,052.38 = 2,052.38/x
  3. Step 3: Cross multiply
    1,531.25x = 2,052.38 × 2,052.38
  4. Step 4: Simplify right side
    1,531.25x = 4,212,243.14
  5. Step 5: Solve for x
    x = 4,212,243.14/1,531.25
  6. Step 6: Final answer
    x = 2,750.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.