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Finding the Third Proportional to 6,139.13 and 7,441.88

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Solution

The third proportional to 6,139.13 and 7,441.88 is: 9,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.13 : 7,441.88 = 7,441.88 : x
  2. Step 2: Convert to fraction form
    6,139.13/7,441.88 = 7,441.88/x
  3. Step 3: Cross multiply
    6,139.13x = 7,441.88 × 7,441.88
  4. Step 4: Simplify right side
    6,139.13x = 55,381,503.52
  5. Step 5: Solve for x
    x = 55,381,503.52/6,139.13
  6. Step 6: Final answer
    x = 9,021.07

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.