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Finding the Third Proportional to 2,259.47 and 5,037.70

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Solution

The third proportional to 2,259.47 and 5,037.70 is: 11,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.47 : 5,037.70 = 5,037.70 : x
  2. Step 2: Convert to fraction form
    2,259.47/5,037.70 = 5,037.70/x
  3. Step 3: Cross multiply
    2,259.47x = 5,037.70 × 5,037.70
  4. Step 4: Simplify right side
    2,259.47x = 25,378,452.78
  5. Step 5: Solve for x
    x = 25,378,452.78/2,259.47
  6. Step 6: Final answer
    x = 11,232.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.