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Finding the Third Proportional to 14,112 and 31,126

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Solution

The third proportional to 14,112 and 31,126 is: 68,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 31,126 = 31,126 : x
  2. Step 2: Convert to fraction form
    14,112/31,126 = 31,126/x
  3. Step 3: Cross multiply
    14,112x = 31,126 × 31,126
  4. Step 4: Simplify right side
    14,112x = 968,827,876
  5. Step 5: Solve for x
    x = 968,827,876/14,112
  6. Step 6: Final answer
    x = 68,652.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.