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Finding the Third Proportional to 5,087.81 and 12,084.19

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Solution

The third proportional to 5,087.81 and 12,084.19 is: 28,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 12,084.19 = 12,084.19 : x
  2. Step 2: Convert to fraction form
    5,087.81/12,084.19 = 12,084.19/x
  3. Step 3: Cross multiply
    5,087.81x = 12,084.19 × 12,084.19
  4. Step 4: Simplify right side
    5,087.81x = 146,027,587.54
  5. Step 5: Solve for x
    x = 146,027,587.54/5,087.81
  6. Step 6: Final answer
    x = 28,701.45

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.