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Finding the Third Proportional to 2,773.69 and 6,037.16

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Solution

The third proportional to 2,773.69 and 6,037.16 is: 13,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.69 : 6,037.16 = 6,037.16 : x
  2. Step 2: Convert to fraction form
    2,773.69/6,037.16 = 6,037.16/x
  3. Step 3: Cross multiply
    2,773.69x = 6,037.16 × 6,037.16
  4. Step 4: Simplify right side
    2,773.69x = 36,447,255.59
  5. Step 5: Solve for x
    x = 36,447,255.59/2,773.69
  6. Step 6: Final answer
    x = 13,140.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.