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Finding the Third Proportional to 27,226 and 40,838

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Solution

The third proportional to 27,226 and 40,838 is: 61,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226 : 40,838 = 40,838 : x
  2. Step 2: Convert to fraction form
    27,226/40,838 = 40,838/x
  3. Step 3: Cross multiply
    27,226x = 40,838 × 40,838
  4. Step 4: Simplify right side
    27,226x = 1,667,742,244
  5. Step 5: Solve for x
    x = 1,667,742,244/27,226
  6. Step 6: Final answer
    x = 61,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.