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Finding the Third Proportional to 5,910.47 and 12,717.84

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Solution

The third proportional to 5,910.47 and 12,717.84 is: 27,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.47 : 12,717.84 = 12,717.84 : x
  2. Step 2: Convert to fraction form
    5,910.47/12,717.84 = 12,717.84/x
  3. Step 3: Cross multiply
    5,910.47x = 12,717.84 × 12,717.84
  4. Step 4: Simplify right side
    5,910.47x = 161,743,549.65
  5. Step 5: Solve for x
    x = 161,743,549.65/5,910.47
  6. Step 6: Final answer
    x = 27,365.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.