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Finding the Third Proportional to 19,860 and 30,671.25

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Solution

The third proportional to 19,860 and 30,671.25 is: 47,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,860 : 30,671.25 = 30,671.25 : x
  2. Step 2: Convert to fraction form
    19,860/30,671.25 = 30,671.25/x
  3. Step 3: Cross multiply
    19,860x = 30,671.25 × 30,671.25
  4. Step 4: Simplify right side
    19,860x = 940,725,576.56
  5. Step 5: Solve for x
    x = 940,725,576.56/19,860
  6. Step 6: Final answer
    x = 47,367.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.