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Finding the Third Proportional to 13,894 and 21,137

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Solution

The third proportional to 13,894 and 21,137 is: 32,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894 : 21,137 = 21,137 : x
  2. Step 2: Convert to fraction form
    13,894/21,137 = 21,137/x
  3. Step 3: Cross multiply
    13,894x = 21,137 × 21,137
  4. Step 4: Simplify right side
    13,894x = 446,772,769
  5. Step 5: Solve for x
    x = 446,772,769/13,894
  6. Step 6: Final answer
    x = 32,155.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.