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Finding the Third Proportional to 13,264 and 21,952

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Solution

The third proportional to 13,264 and 21,952 is: 36,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264 : 21,952 = 21,952 : x
  2. Step 2: Convert to fraction form
    13,264/21,952 = 21,952/x
  3. Step 3: Cross multiply
    13,264x = 21,952 × 21,952
  4. Step 4: Simplify right side
    13,264x = 481,890,304
  5. Step 5: Solve for x
    x = 481,890,304/13,264
  6. Step 6: Final answer
    x = 36,330.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.