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Finding the Third Proportional to 6,981.38 and 13,612.13

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Solution

The third proportional to 6,981.38 and 13,612.13 is: 26,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.38 : 13,612.13 = 13,612.13 : x
  2. Step 2: Convert to fraction form
    6,981.38/13,612.13 = 13,612.13/x
  3. Step 3: Cross multiply
    6,981.38x = 13,612.13 × 13,612.13
  4. Step 4: Simplify right side
    6,981.38x = 185,289,947.02
  5. Step 5: Solve for x
    x = 185,289,947.02/6,981.38
  6. Step 6: Final answer
    x = 26,540.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.