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Finding the Third Proportional to 5,643.42 and 6,250.92

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Solution

The third proportional to 5,643.42 and 6,250.92 is: 6,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.42 : 6,250.92 = 6,250.92 : x
  2. Step 2: Convert to fraction form
    5,643.42/6,250.92 = 6,250.92/x
  3. Step 3: Cross multiply
    5,643.42x = 6,250.92 × 6,250.92
  4. Step 4: Simplify right side
    5,643.42x = 39,074,024.29
  5. Step 5: Solve for x
    x = 39,074,024.29/5,643.42
  6. Step 6: Final answer
    x = 6,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.