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Finding the Third Proportional to 39,476 and 61,161

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Solution

The third proportional to 39,476 and 61,161 is: 94,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476 : 61,161 = 61,161 : x
  2. Step 2: Convert to fraction form
    39,476/61,161 = 61,161/x
  3. Step 3: Cross multiply
    39,476x = 61,161 × 61,161
  4. Step 4: Simplify right side
    39,476x = 3,740,667,921
  5. Step 5: Solve for x
    x = 3,740,667,921/39,476
  6. Step 6: Final answer
    x = 94,758.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.