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Finding the Third Proportional to 13,447.69 and 23,680.69

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Solution

The third proportional to 13,447.69 and 23,680.69 is: 41,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.69 : 23,680.69 = 23,680.69 : x
  2. Step 2: Convert to fraction form
    13,447.69/23,680.69 = 23,680.69/x
  3. Step 3: Cross multiply
    13,447.69x = 23,680.69 × 23,680.69
  4. Step 4: Simplify right side
    13,447.69x = 560,774,960.47
  5. Step 5: Solve for x
    x = 560,774,960.47/13,447.69
  6. Step 6: Final answer
    x = 41,700.48

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.