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Finding the Third Proportional to 868.03 and 2,047.13

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Solution

The third proportional to 868.03 and 2,047.13 is: 4,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.03 : 2,047.13 = 2,047.13 : x
  2. Step 2: Convert to fraction form
    868.03/2,047.13 = 2,047.13/x
  3. Step 3: Cross multiply
    868.03x = 2,047.13 × 2,047.13
  4. Step 4: Simplify right side
    868.03x = 4,190,720.77
  5. Step 5: Solve for x
    x = 4,190,720.77/868.03
  6. Step 6: Final answer
    x = 4,827.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.