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Finding the Third Proportional to 6,068.67 and 12,981.09

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Solution

The third proportional to 6,068.67 and 12,981.09 is: 27,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.67 : 12,981.09 = 12,981.09 : x
  2. Step 2: Convert to fraction form
    6,068.67/12,981.09 = 12,981.09/x
  3. Step 3: Cross multiply
    6,068.67x = 12,981.09 × 12,981.09
  4. Step 4: Simplify right side
    6,068.67x = 168,508,794.95
  5. Step 5: Solve for x
    x = 168,508,794.95/6,068.67
  6. Step 6: Final answer
    x = 27,767.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.