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Finding the Third Proportional to 1,339.52 and 1,750.57

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Solution

The third proportional to 1,339.52 and 1,750.57 is: 2,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.52 : 1,750.57 = 1,750.57 : x
  2. Step 2: Convert to fraction form
    1,339.52/1,750.57 = 1,750.57/x
  3. Step 3: Cross multiply
    1,339.52x = 1,750.57 × 1,750.57
  4. Step 4: Simplify right side
    1,339.52x = 3,064,496.42
  5. Step 5: Solve for x
    x = 3,064,496.42/1,339.52
  6. Step 6: Final answer
    x = 2,287.75

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.