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Finding the Third Proportional to 6,341.73 and 6,976.76

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Solution

The third proportional to 6,341.73 and 6,976.76 is: 7,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.73 : 6,976.76 = 6,976.76 : x
  2. Step 2: Convert to fraction form
    6,341.73/6,976.76 = 6,976.76/x
  3. Step 3: Cross multiply
    6,341.73x = 6,976.76 × 6,976.76
  4. Step 4: Simplify right side
    6,341.73x = 48,675,149.57
  5. Step 5: Solve for x
    x = 48,675,149.57/6,341.73
  6. Step 6: Final answer
    x = 7,675.37

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