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Finding the Third Proportional to 45,927 and 48,934.13

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Solution

The third proportional to 45,927 and 48,934.13 is: 52,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 48,934.13 = 48,934.13 : x
  2. Step 2: Convert to fraction form
    45,927/48,934.13 = 48,934.13/x
  3. Step 3: Cross multiply
    45,927x = 48,934.13 × 48,934.13
  4. Step 4: Simplify right side
    45,927x = 2,394,548,589.52
  5. Step 5: Solve for x
    x = 2,394,548,589.52/45,927
  6. Step 6: Final answer
    x = 52,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.