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Finding the Third Proportional to 13,648 and 21,894

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Solution

The third proportional to 13,648 and 21,894 is: 35,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648 : 21,894 = 21,894 : x
  2. Step 2: Convert to fraction form
    13,648/21,894 = 21,894/x
  3. Step 3: Cross multiply
    13,648x = 21,894 × 21,894
  4. Step 4: Simplify right side
    13,648x = 479,347,236
  5. Step 5: Solve for x
    x = 479,347,236/13,648
  6. Step 6: Final answer
    x = 35,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.