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Finding the Third Proportional to 27,677 and 44,061

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Solution

The third proportional to 27,677 and 44,061 is: 70,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677 : 44,061 = 44,061 : x
  2. Step 2: Convert to fraction form
    27,677/44,061 = 44,061/x
  3. Step 3: Cross multiply
    27,677x = 44,061 × 44,061
  4. Step 4: Simplify right side
    27,677x = 1,941,371,721
  5. Step 5: Solve for x
    x = 1,941,371,721/27,677
  6. Step 6: Final answer
    x = 70,143.86

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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.