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Finding the Third Proportional to 6,159.94 and 12,934.88

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Solution

The third proportional to 6,159.94 and 12,934.88 is: 27,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.94 : 12,934.88 = 12,934.88 : x
  2. Step 2: Convert to fraction form
    6,159.94/12,934.88 = 12,934.88/x
  3. Step 3: Cross multiply
    6,159.94x = 12,934.88 × 12,934.88
  4. Step 4: Simplify right side
    6,159.94x = 167,310,991.27
  5. Step 5: Solve for x
    x = 167,310,991.27/6,159.94
  6. Step 6: Final answer
    x = 27,161.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.