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Finding the Third Proportional to 14,223 and 31,119

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Solution

The third proportional to 14,223 and 31,119 is: 68,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223 : 31,119 = 31,119 : x
  2. Step 2: Convert to fraction form
    14,223/31,119 = 31,119/x
  3. Step 3: Cross multiply
    14,223x = 31,119 × 31,119
  4. Step 4: Simplify right side
    14,223x = 968,392,161
  5. Step 5: Solve for x
    x = 968,392,161/14,223
  6. Step 6: Final answer
    x = 68,086.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.