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Finding the Third Proportional to 7,937 and 16,223

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Solution

The third proportional to 7,937 and 16,223 is: 33,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937 : 16,223 = 16,223 : x
  2. Step 2: Convert to fraction form
    7,937/16,223 = 16,223/x
  3. Step 3: Cross multiply
    7,937x = 16,223 × 16,223
  4. Step 4: Simplify right side
    7,937x = 263,185,729
  5. Step 5: Solve for x
    x = 263,185,729/7,937
  6. Step 6: Final answer
    x = 33,159.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.