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Finding the Third Proportional to 27,711 and 44,077.50

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Solution

The third proportional to 27,711 and 44,077.50 is: 70,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711 : 44,077.50 = 44,077.50 : x
  2. Step 2: Convert to fraction form
    27,711/44,077.50 = 44,077.50/x
  3. Step 3: Cross multiply
    27,711x = 44,077.50 × 44,077.50
  4. Step 4: Simplify right side
    27,711x = 1,942,826,006.25
  5. Step 5: Solve for x
    x = 1,942,826,006.25/27,711
  6. Step 6: Final answer
    x = 70,110.28

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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.