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Finding the Third Proportional to 6,048 and 13,125.38

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Solution

The third proportional to 6,048 and 13,125.38 is: 28,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 13,125.38 = 13,125.38 : x
  2. Step 2: Convert to fraction form
    6,048/13,125.38 = 13,125.38/x
  3. Step 3: Cross multiply
    6,048x = 13,125.38 × 13,125.38
  4. Step 4: Simplify right side
    6,048x = 172,275,468.89
  5. Step 5: Solve for x
    x = 172,275,468.89/6,048
  6. Step 6: Final answer
    x = 28,484.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.