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Finding the Third Proportional to 27,394 and 64,645

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Solution

The third proportional to 27,394 and 64,645 is: 152,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394 : 64,645 = 64,645 : x
  2. Step 2: Convert to fraction form
    27,394/64,645 = 64,645/x
  3. Step 3: Cross multiply
    27,394x = 64,645 × 64,645
  4. Step 4: Simplify right side
    27,394x = 4,178,976,025
  5. Step 5: Solve for x
    x = 4,178,976,025/27,394
  6. Step 6: Final answer
    x = 152,550.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.