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Finding the Third Proportional to 27,746 and 44,132

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Solution

The third proportional to 27,746 and 44,132 is: 70,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 44,132 = 44,132 : x
  2. Step 2: Convert to fraction form
    27,746/44,132 = 44,132/x
  3. Step 3: Cross multiply
    27,746x = 44,132 × 44,132
  4. Step 4: Simplify right side
    27,746x = 1,947,633,424
  5. Step 5: Solve for x
    x = 1,947,633,424/27,746
  6. Step 6: Final answer
    x = 70,195.11

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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.