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Finding the Third Proportional to 14,132.39 and 21,976.73

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Solution

The third proportional to 14,132.39 and 21,976.73 is: 34,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.39 : 21,976.73 = 21,976.73 : x
  2. Step 2: Convert to fraction form
    14,132.39/21,976.73 = 21,976.73/x
  3. Step 3: Cross multiply
    14,132.39x = 21,976.73 × 21,976.73
  4. Step 4: Simplify right side
    14,132.39x = 482,976,853.79
  5. Step 5: Solve for x
    x = 482,976,853.79/14,132.39
  6. Step 6: Final answer
    x = 34,175.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.