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Finding the Third Proportional to 1,531.09 and 2,294.74

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Solution

The third proportional to 1,531.09 and 2,294.74 is: 3,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.09 : 2,294.74 = 2,294.74 : x
  2. Step 2: Convert to fraction form
    1,531.09/2,294.74 = 2,294.74/x
  3. Step 3: Cross multiply
    1,531.09x = 2,294.74 × 2,294.74
  4. Step 4: Simplify right side
    1,531.09x = 5,265,814.82
  5. Step 5: Solve for x
    x = 5,265,814.82/1,531.09
  6. Step 6: Final answer
    x = 3,439.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.