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Finding the Third Proportional to 31,682.25 and 44,294.25

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Solution

The third proportional to 31,682.25 and 44,294.25 is: 61,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.25 : 44,294.25 = 44,294.25 : x
  2. Step 2: Convert to fraction form
    31,682.25/44,294.25 = 44,294.25/x
  3. Step 3: Cross multiply
    31,682.25x = 44,294.25 × 44,294.25
  4. Step 4: Simplify right side
    31,682.25x = 1,961,980,583.06
  5. Step 5: Solve for x
    x = 1,961,980,583.06/31,682.25
  6. Step 6: Final answer
    x = 61,926.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.