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Finding the Third Proportional to 18,846 and 27,706.50

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Solution

The third proportional to 18,846 and 27,706.50 is: 40,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846 : 27,706.50 = 27,706.50 : x
  2. Step 2: Convert to fraction form
    18,846/27,706.50 = 27,706.50/x
  3. Step 3: Cross multiply
    18,846x = 27,706.50 × 27,706.50
  4. Step 4: Simplify right side
    18,846x = 767,650,142.25
  5. Step 5: Solve for x
    x = 767,650,142.25/18,846
  6. Step 6: Final answer
    x = 40,732.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.