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Finding the Third Proportional to 4,199.91 and 6,178.22

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Solution

The third proportional to 4,199.91 and 6,178.22 is: 9,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.91 : 6,178.22 = 6,178.22 : x
  2. Step 2: Convert to fraction form
    4,199.91/6,178.22 = 6,178.22/x
  3. Step 3: Cross multiply
    4,199.91x = 6,178.22 × 6,178.22
  4. Step 4: Simplify right side
    4,199.91x = 38,170,386.92
  5. Step 5: Solve for x
    x = 38,170,386.92/4,199.91
  6. Step 6: Final answer
    x = 9,088.39

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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.