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Finding the Third Proportional to 7,255.69 and 15,832.69

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Solution

The third proportional to 7,255.69 and 15,832.69 is: 34,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.69 : 15,832.69 = 15,832.69 : x
  2. Step 2: Convert to fraction form
    7,255.69/15,832.69 = 15,832.69/x
  3. Step 3: Cross multiply
    7,255.69x = 15,832.69 × 15,832.69
  4. Step 4: Simplify right side
    7,255.69x = 250,673,993.47
  5. Step 5: Solve for x
    x = 250,673,993.47/7,255.69
  6. Step 6: Final answer
    x = 34,548.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.