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Finding the Third Proportional to 36,116 and 47,934

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Solution

The third proportional to 36,116 and 47,934 is: 63,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,116 : 47,934 = 47,934 : x
  2. Step 2: Convert to fraction form
    36,116/47,934 = 47,934/x
  3. Step 3: Cross multiply
    36,116x = 47,934 × 47,934
  4. Step 4: Simplify right side
    36,116x = 2,297,668,356
  5. Step 5: Solve for x
    x = 2,297,668,356/36,116
  6. Step 6: Final answer
    x = 63,619.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.