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Finding the Third Proportional to 6,023.74 and 8,947.34

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Solution

The third proportional to 6,023.74 and 8,947.34 is: 13,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.74 : 8,947.34 = 8,947.34 : x
  2. Step 2: Convert to fraction form
    6,023.74/8,947.34 = 8,947.34/x
  3. Step 3: Cross multiply
    6,023.74x = 8,947.34 × 8,947.34
  4. Step 4: Simplify right side
    6,023.74x = 80,054,820.38
  5. Step 5: Solve for x
    x = 80,054,820.38/6,023.74
  6. Step 6: Final answer
    x = 13,289.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.