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Finding the Third Proportional to 33,074 and 49,909

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Solution

The third proportional to 33,074 and 49,909 is: 75,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074 : 49,909 = 49,909 : x
  2. Step 2: Convert to fraction form
    33,074/49,909 = 49,909/x
  3. Step 3: Cross multiply
    33,074x = 49,909 × 49,909
  4. Step 4: Simplify right side
    33,074x = 2,490,908,281
  5. Step 5: Solve for x
    x = 2,490,908,281/33,074
  6. Step 6: Final answer
    x = 75,313.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.