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Finding the Third Proportional to 1,140.75 and 1,761.47

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Solution

The third proportional to 1,140.75 and 1,761.47 is: 2,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,761.47 = 1,761.47 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,761.47 = 1,761.47/x
  3. Step 3: Cross multiply
    1,140.75x = 1,761.47 × 1,761.47
  4. Step 4: Simplify right side
    1,140.75x = 3,102,772.16
  5. Step 5: Solve for x
    x = 3,102,772.16/1,140.75
  6. Step 6: Final answer
    x = 2,719.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.