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Finding the Third Proportional to 27,396 and 41,251.50

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Solution

The third proportional to 27,396 and 41,251.50 is: 62,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 41,251.50 = 41,251.50 : x
  2. Step 2: Convert to fraction form
    27,396/41,251.50 = 41,251.50/x
  3. Step 3: Cross multiply
    27,396x = 41,251.50 × 41,251.50
  4. Step 4: Simplify right side
    27,396x = 1,701,686,252.25
  5. Step 5: Solve for x
    x = 1,701,686,252.25/27,396
  6. Step 6: Final answer
    x = 62,114.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.