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Finding the Third Proportional to 2,047.13 and 3,072.75

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Solution

The third proportional to 2,047.13 and 3,072.75 is: 4,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.13 : 3,072.75 = 3,072.75 : x
  2. Step 2: Convert to fraction form
    2,047.13/3,072.75 = 3,072.75/x
  3. Step 3: Cross multiply
    2,047.13x = 3,072.75 × 3,072.75
  4. Step 4: Simplify right side
    2,047.13x = 9,441,792.56
  5. Step 5: Solve for x
    x = 9,441,792.56/2,047.13
  6. Step 6: Final answer
    x = 4,612.22

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Why These Related Problems?

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