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Finding the Third Proportional to 33,026 and 64,394

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Solution

The third proportional to 33,026 and 64,394 is: 125,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,026 : 64,394 = 64,394 : x
  2. Step 2: Convert to fraction form
    33,026/64,394 = 64,394/x
  3. Step 3: Cross multiply
    33,026x = 64,394 × 64,394
  4. Step 4: Simplify right side
    33,026x = 4,146,587,236
  5. Step 5: Solve for x
    x = 4,146,587,236/33,026
  6. Step 6: Final answer
    x = 125,555.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.