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Finding the Third Proportional to 2,047.78 and 3,073.78

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Solution

The third proportional to 2,047.78 and 3,073.78 is: 4,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.78 : 3,073.78 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    2,047.78/3,073.78 = 3,073.78/x
  3. Step 3: Cross multiply
    2,047.78x = 3,073.78 × 3,073.78
  4. Step 4: Simplify right side
    2,047.78x = 9,448,131.17
  5. Step 5: Solve for x
    x = 9,448,131.17/2,047.78
  6. Step 6: Final answer
    x = 4,613.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.