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Finding the Third Proportional to 13,786.50 and 21,911

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Solution

The third proportional to 13,786.50 and 21,911 is: 34,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.50 : 21,911 = 21,911 : x
  2. Step 2: Convert to fraction form
    13,786.50/21,911 = 21,911/x
  3. Step 3: Cross multiply
    13,786.50x = 21,911 × 21,911
  4. Step 4: Simplify right side
    13,786.50x = 480,091,921
  5. Step 5: Solve for x
    x = 480,091,921/13,786.50
  6. Step 6: Final answer
    x = 34,823.34

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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.