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Finding the Third Proportional to 6,363.56 and 10,557.84

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Solution

The third proportional to 6,363.56 and 10,557.84 is: 17,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.56 : 10,557.84 = 10,557.84 : x
  2. Step 2: Convert to fraction form
    6,363.56/10,557.84 = 10,557.84/x
  3. Step 3: Cross multiply
    6,363.56x = 10,557.84 × 10,557.84
  4. Step 4: Simplify right side
    6,363.56x = 111,468,064.65
  5. Step 5: Solve for x
    x = 111,468,064.65/6,363.56
  6. Step 6: Final answer
    x = 17,516.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.