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Finding the Third Proportional to 12,706.88 and 22,680

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Solution

The third proportional to 12,706.88 and 22,680 is: 40,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.88 : 22,680 = 22,680 : x
  2. Step 2: Convert to fraction form
    12,706.88/22,680 = 22,680/x
  3. Step 3: Cross multiply
    12,706.88x = 22,680 × 22,680
  4. Step 4: Simplify right side
    12,706.88x = 514,382,400
  5. Step 5: Solve for x
    x = 514,382,400/12,706.88
  6. Step 6: Final answer
    x = 40,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.