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Finding the Third Proportional to 39,226 and 60,017

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Solution

The third proportional to 39,226 and 60,017 is: 91,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,226 : 60,017 = 60,017 : x
  2. Step 2: Convert to fraction form
    39,226/60,017 = 60,017/x
  3. Step 3: Cross multiply
    39,226x = 60,017 × 60,017
  4. Step 4: Simplify right side
    39,226x = 3,602,040,289
  5. Step 5: Solve for x
    x = 3,602,040,289/39,226
  6. Step 6: Final answer
    x = 91,827.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.