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Finding the Third Proportional to 14,856 and 31,944

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Solution

The third proportional to 14,856 and 31,944 is: 68,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 31,944 = 31,944 : x
  2. Step 2: Convert to fraction form
    14,856/31,944 = 31,944/x
  3. Step 3: Cross multiply
    14,856x = 31,944 × 31,944
  4. Step 4: Simplify right side
    14,856x = 1,020,419,136
  5. Step 5: Solve for x
    x = 1,020,419,136/14,856
  6. Step 6: Final answer
    x = 68,687.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.