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Finding the Third Proportional to 33,429.38 and 51,929.44

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Solution

The third proportional to 33,429.38 and 51,929.44 is: 80,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429.38 : 51,929.44 = 51,929.44 : x
  2. Step 2: Convert to fraction form
    33,429.38/51,929.44 = 51,929.44/x
  3. Step 3: Cross multiply
    33,429.38x = 51,929.44 × 51,929.44
  4. Step 4: Simplify right side
    33,429.38x = 2,696,666,479.07
  5. Step 5: Solve for x
    x = 2,696,666,479.07/33,429.38
  6. Step 6: Final answer
    x = 80,667.57

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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.