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Finding the Third Proportional to 6,048 and 13,138.88

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Solution

The third proportional to 6,048 and 13,138.88 is: 28,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 13,138.88 = 13,138.88 : x
  2. Step 2: Convert to fraction form
    6,048/13,138.88 = 13,138.88/x
  3. Step 3: Cross multiply
    6,048x = 13,138.88 × 13,138.88
  4. Step 4: Simplify right side
    6,048x = 172,630,036.27
  5. Step 5: Solve for x
    x = 172,630,036.27/6,048
  6. Step 6: Final answer
    x = 28,543.33

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