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Finding the Third Proportional to 6,139.55 and 6,724.27

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Solution

The third proportional to 6,139.55 and 6,724.27 is: 7,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.55 : 6,724.27 = 6,724.27 : x
  2. Step 2: Convert to fraction form
    6,139.55/6,724.27 = 6,724.27/x
  3. Step 3: Cross multiply
    6,139.55x = 6,724.27 × 6,724.27
  4. Step 4: Simplify right side
    6,139.55x = 45,215,748.20
  5. Step 5: Solve for x
    x = 45,215,748.20/6,139.55
  6. Step 6: Final answer
    x = 7,364.67

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.