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Finding the Third Proportional to 4,158.53 and 8,976.76

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Solution

The third proportional to 4,158.53 and 8,976.76 is: 19,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.53 : 8,976.76 = 8,976.76 : x
  2. Step 2: Convert to fraction form
    4,158.53/8,976.76 = 8,976.76/x
  3. Step 3: Cross multiply
    4,158.53x = 8,976.76 × 8,976.76
  4. Step 4: Simplify right side
    4,158.53x = 80,582,250.96
  5. Step 5: Solve for x
    x = 80,582,250.96/4,158.53
  6. Step 6: Final answer
    x = 19,377.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.