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Finding the Third Proportional to 4,053 and 5,947.88

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Solution

The third proportional to 4,053 and 5,947.88 is: 8,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053 : 5,947.88 = 5,947.88 : x
  2. Step 2: Convert to fraction form
    4,053/5,947.88 = 5,947.88/x
  3. Step 3: Cross multiply
    4,053x = 5,947.88 × 5,947.88
  4. Step 4: Simplify right side
    4,053x = 35,377,217.02
  5. Step 5: Solve for x
    x = 35,377,217.02/4,053
  6. Step 6: Final answer
    x = 8,728.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.