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Finding the Third Proportional to 7,864 and 13,952

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Solution

The third proportional to 7,864 and 13,952 is: 24,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 13,952 = 13,952 : x
  2. Step 2: Convert to fraction form
    7,864/13,952 = 13,952/x
  3. Step 3: Cross multiply
    7,864x = 13,952 × 13,952
  4. Step 4: Simplify right side
    7,864x = 194,658,304
  5. Step 5: Solve for x
    x = 194,658,304/7,864
  6. Step 6: Final answer
    x = 24,753.09

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.