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Finding the Third Proportional to 14,944 and 32,192

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Solution

The third proportional to 14,944 and 32,192 is: 69,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944 : 32,192 = 32,192 : x
  2. Step 2: Convert to fraction form
    14,944/32,192 = 32,192/x
  3. Step 3: Cross multiply
    14,944x = 32,192 × 32,192
  4. Step 4: Simplify right side
    14,944x = 1,036,324,864
  5. Step 5: Solve for x
    x = 1,036,324,864/14,944
  6. Step 6: Final answer
    x = 69,347.22

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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.