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Finding the Third Proportional to 13,725 and 20,952

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Solution

The third proportional to 13,725 and 20,952 is: 31,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 20,952 = 20,952 : x
  2. Step 2: Convert to fraction form
    13,725/20,952 = 20,952/x
  3. Step 3: Cross multiply
    13,725x = 20,952 × 20,952
  4. Step 4: Simplify right side
    13,725x = 438,986,304
  5. Step 5: Solve for x
    x = 438,986,304/13,725
  6. Step 6: Final answer
    x = 31,984.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.