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Finding the Third Proportional to 15,984 and 33,952

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Solution

The third proportional to 15,984 and 33,952 is: 72,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 33,952 = 33,952 : x
  2. Step 2: Convert to fraction form
    15,984/33,952 = 33,952/x
  3. Step 3: Cross multiply
    15,984x = 33,952 × 33,952
  4. Step 4: Simplify right side
    15,984x = 1,152,738,304
  5. Step 5: Solve for x
    x = 1,152,738,304/15,984
  6. Step 6: Final answer
    x = 72,118.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.