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Finding the Third Proportional to 31,106 and 45,327

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Solution

The third proportional to 31,106 and 45,327 is: 66,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106 : 45,327 = 45,327 : x
  2. Step 2: Convert to fraction form
    31,106/45,327 = 45,327/x
  3. Step 3: Cross multiply
    31,106x = 45,327 × 45,327
  4. Step 4: Simplify right side
    31,106x = 2,054,536,929
  5. Step 5: Solve for x
    x = 2,054,536,929/31,106
  6. Step 6: Final answer
    x = 66,049.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.