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Finding the Third Proportional to 1,074.52 and 2,329.59

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Solution

The third proportional to 1,074.52 and 2,329.59 is: 5,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.52 : 2,329.59 = 2,329.59 : x
  2. Step 2: Convert to fraction form
    1,074.52/2,329.59 = 2,329.59/x
  3. Step 3: Cross multiply
    1,074.52x = 2,329.59 × 2,329.59
  4. Step 4: Simplify right side
    1,074.52x = 5,427,007.04
  5. Step 5: Solve for x
    x = 5,427,007.04/1,074.52
  6. Step 6: Final answer
    x = 5,050.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.