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Finding the Third Proportional to 6,794.72 and 10,809.70

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Solution

The third proportional to 6,794.72 and 10,809.70 is: 17,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.72 : 10,809.70 = 10,809.70 : x
  2. Step 2: Convert to fraction form
    6,794.72/10,809.70 = 10,809.70/x
  3. Step 3: Cross multiply
    6,794.72x = 10,809.70 × 10,809.70
  4. Step 4: Simplify right side
    6,794.72x = 116,849,681.65
  5. Step 5: Solve for x
    x = 116,849,681.65/6,794.72
  6. Step 6: Final answer
    x = 17,197.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.