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Finding the Third Proportional to 6,979.61 and 12,911.27

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Solution

The third proportional to 6,979.61 and 12,911.27 is: 23,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.61 : 12,911.27 = 12,911.27 : x
  2. Step 2: Convert to fraction form
    6,979.61/12,911.27 = 12,911.27/x
  3. Step 3: Cross multiply
    6,979.61x = 12,911.27 × 12,911.27
  4. Step 4: Simplify right side
    6,979.61x = 166,700,981.78
  5. Step 5: Solve for x
    x = 166,700,981.78/6,979.61
  6. Step 6: Final answer
    x = 23,884.01

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.