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Finding the Third Proportional to 4,003.17 and 6,288.89

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Solution

The third proportional to 4,003.17 and 6,288.89 is: 9,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.17 : 6,288.89 = 6,288.89 : x
  2. Step 2: Convert to fraction form
    4,003.17/6,288.89 = 6,288.89/x
  3. Step 3: Cross multiply
    4,003.17x = 6,288.89 × 6,288.89
  4. Step 4: Simplify right side
    4,003.17x = 39,550,145.29
  5. Step 5: Solve for x
    x = 39,550,145.29/4,003.17
  6. Step 6: Final answer
    x = 9,879.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.