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Finding the Third Proportional to 6,936.65 and 14,981.70

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Solution

The third proportional to 6,936.65 and 14,981.70 is: 32,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.65 : 14,981.70 = 14,981.70 : x
  2. Step 2: Convert to fraction form
    6,936.65/14,981.70 = 14,981.70/x
  3. Step 3: Cross multiply
    6,936.65x = 14,981.70 × 14,981.70
  4. Step 4: Simplify right side
    6,936.65x = 224,451,260.27
  5. Step 5: Solve for x
    x = 224,451,260.27/6,936.65
  6. Step 6: Final answer
    x = 32,357.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.