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Finding the Third Proportional to 31,344 and 43,931.25

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Solution

The third proportional to 31,344 and 43,931.25 is: 61,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344 : 43,931.25 = 43,931.25 : x
  2. Step 2: Convert to fraction form
    31,344/43,931.25 = 43,931.25/x
  3. Step 3: Cross multiply
    31,344x = 43,931.25 × 43,931.25
  4. Step 4: Simplify right side
    31,344x = 1,929,954,726.56
  5. Step 5: Solve for x
    x = 1,929,954,726.56/31,344
  6. Step 6: Final answer
    x = 61,573.34

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