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Finding the Third Proportional to 4,199.34 and 6,177.52

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Solution

The third proportional to 4,199.34 and 6,177.52 is: 9,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.34 : 6,177.52 = 6,177.52 : x
  2. Step 2: Convert to fraction form
    4,199.34/6,177.52 = 6,177.52/x
  3. Step 3: Cross multiply
    4,199.34x = 6,177.52 × 6,177.52
  4. Step 4: Simplify right side
    4,199.34x = 38,161,699.30
  5. Step 5: Solve for x
    x = 38,161,699.30/4,199.34
  6. Step 6: Final answer
    x = 9,087.54

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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.