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Finding the Third Proportional to 6,078.80 and 13,084.03

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Solution

The third proportional to 6,078.80 and 13,084.03 is: 28,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.80 : 13,084.03 = 13,084.03 : x
  2. Step 2: Convert to fraction form
    6,078.80/13,084.03 = 13,084.03/x
  3. Step 3: Cross multiply
    6,078.80x = 13,084.03 × 13,084.03
  4. Step 4: Simplify right side
    6,078.80x = 171,191,873.75
  5. Step 5: Solve for x
    x = 171,191,873.75/6,078.80
  6. Step 6: Final answer
    x = 28,162.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.