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Finding the Third Proportional to 33,569 and 51,326

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Solution

The third proportional to 33,569 and 51,326 is: 78,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,569 : 51,326 = 51,326 : x
  2. Step 2: Convert to fraction form
    33,569/51,326 = 51,326/x
  3. Step 3: Cross multiply
    33,569x = 51,326 × 51,326
  4. Step 4: Simplify right side
    33,569x = 2,634,358,276
  5. Step 5: Solve for x
    x = 2,634,358,276/33,569
  6. Step 6: Final answer
    x = 78,475.92

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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.