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Finding the Third Proportional to 5,118.75 and 11,148.19

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Solution

The third proportional to 5,118.75 and 11,148.19 is: 24,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.75 : 11,148.19 = 11,148.19 : x
  2. Step 2: Convert to fraction form
    5,118.75/11,148.19 = 11,148.19/x
  3. Step 3: Cross multiply
    5,118.75x = 11,148.19 × 11,148.19
  4. Step 4: Simplify right side
    5,118.75x = 124,282,084.54
  5. Step 5: Solve for x
    x = 124,282,084.54/5,118.75
  6. Step 6: Final answer
    x = 24,279.77

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