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Finding the Third Proportional to 1,037.81 and 2,284.14

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Solution

The third proportional to 1,037.81 and 2,284.14 is: 5,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.81 : 2,284.14 = 2,284.14 : x
  2. Step 2: Convert to fraction form
    1,037.81/2,284.14 = 2,284.14/x
  3. Step 3: Cross multiply
    1,037.81x = 2,284.14 × 2,284.14
  4. Step 4: Simplify right side
    1,037.81x = 5,217,280.55
  5. Step 5: Solve for x
    x = 5,217,280.55/1,037.81
  6. Step 6: Final answer
    x = 5,027.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.