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Finding the Third Proportional to 1,531.41 and 2,314.41

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Solution

The third proportional to 1,531.41 and 2,314.41 is: 3,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.41 : 2,314.41 = 2,314.41 : x
  2. Step 2: Convert to fraction form
    1,531.41/2,314.41 = 2,314.41/x
  3. Step 3: Cross multiply
    1,531.41x = 2,314.41 × 2,314.41
  4. Step 4: Simplify right side
    1,531.41x = 5,356,476.29
  5. Step 5: Solve for x
    x = 5,356,476.29/1,531.41
  6. Step 6: Final answer
    x = 3,497.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.