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Finding the Third Proportional to 33,033 and 51,237

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Solution

The third proportional to 33,033 and 51,237 is: 79,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033 : 51,237 = 51,237 : x
  2. Step 2: Convert to fraction form
    33,033/51,237 = 51,237/x
  3. Step 3: Cross multiply
    33,033x = 51,237 × 51,237
  4. Step 4: Simplify right side
    33,033x = 2,625,230,169
  5. Step 5: Solve for x
    x = 2,625,230,169/33,033
  6. Step 6: Final answer
    x = 79,472.96

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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.