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Finding the Third Proportional to 31,953 and 69,195.75

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Solution

The third proportional to 31,953 and 69,195.75 is: 149,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953 : 69,195.75 = 69,195.75 : x
  2. Step 2: Convert to fraction form
    31,953/69,195.75 = 69,195.75/x
  3. Step 3: Cross multiply
    31,953x = 69,195.75 × 69,195.75
  4. Step 4: Simplify right side
    31,953x = 4,788,051,818.06
  5. Step 5: Solve for x
    x = 4,788,051,818.06/31,953
  6. Step 6: Final answer
    x = 149,846.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.