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Finding the Third Proportional to 28,719 and 44,131

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Solution

The third proportional to 28,719 and 44,131 is: 67,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,719 : 44,131 = 44,131 : x
  2. Step 2: Convert to fraction form
    28,719/44,131 = 44,131/x
  3. Step 3: Cross multiply
    28,719x = 44,131 × 44,131
  4. Step 4: Simplify right side
    28,719x = 1,947,545,161
  5. Step 5: Solve for x
    x = 1,947,545,161/28,719
  6. Step 6: Final answer
    x = 67,813.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.