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Finding the Third Proportional to 4,089.23 and 6,132.43

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Solution

The third proportional to 4,089.23 and 6,132.43 is: 9,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.23 : 6,132.43 = 6,132.43 : x
  2. Step 2: Convert to fraction form
    4,089.23/6,132.43 = 6,132.43/x
  3. Step 3: Cross multiply
    4,089.23x = 6,132.43 × 6,132.43
  4. Step 4: Simplify right side
    4,089.23x = 37,606,669.92
  5. Step 5: Solve for x
    x = 37,606,669.92/4,089.23
  6. Step 6: Final answer
    x = 9,196.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.