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Finding the Third Proportional to 33,348 and 50,869.13

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Solution

The third proportional to 33,348 and 50,869.13 is: 77,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,348 : 50,869.13 = 50,869.13 : x
  2. Step 2: Convert to fraction form
    33,348/50,869.13 = 50,869.13/x
  3. Step 3: Cross multiply
    33,348x = 50,869.13 × 50,869.13
  4. Step 4: Simplify right side
    33,348x = 2,587,667,878.27
  5. Step 5: Solve for x
    x = 2,587,667,878.27/33,348
  6. Step 6: Final answer
    x = 77,595.89

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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.