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Finding the Third Proportional to 12,706.50 and 27,573

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Solution

The third proportional to 12,706.50 and 27,573 is: 59,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.50 : 27,573 = 27,573 : x
  2. Step 2: Convert to fraction form
    12,706.50/27,573 = 27,573/x
  3. Step 3: Cross multiply
    12,706.50x = 27,573 × 27,573
  4. Step 4: Simplify right side
    12,706.50x = 760,270,329
  5. Step 5: Solve for x
    x = 760,270,329/12,706.50
  6. Step 6: Final answer
    x = 59,833.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.