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Finding the Third Proportional to 8,738 and 13,898.75

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Solution

The third proportional to 8,738 and 13,898.75 is: 22,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738 : 13,898.75 = 13,898.75 : x
  2. Step 2: Convert to fraction form
    8,738/13,898.75 = 13,898.75/x
  3. Step 3: Cross multiply
    8,738x = 13,898.75 × 13,898.75
  4. Step 4: Simplify right side
    8,738x = 193,175,251.56
  5. Step 5: Solve for x
    x = 193,175,251.56/8,738
  6. Step 6: Final answer
    x = 22,107.49

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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.