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Finding the Third Proportional to 33,394 and 53,251

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Solution

The third proportional to 33,394 and 53,251 is: 84,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394 : 53,251 = 53,251 : x
  2. Step 2: Convert to fraction form
    33,394/53,251 = 53,251/x
  3. Step 3: Cross multiply
    33,394x = 53,251 × 53,251
  4. Step 4: Simplify right side
    33,394x = 2,835,669,001
  5. Step 5: Solve for x
    x = 2,835,669,001/33,394
  6. Step 6: Final answer
    x = 84,915.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.