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Finding the Third Proportional to 19,658.25 and 30,479.63

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Solution

The third proportional to 19,658.25 and 30,479.63 is: 47,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.25 : 30,479.63 = 30,479.63 : x
  2. Step 2: Convert to fraction form
    19,658.25/30,479.63 = 30,479.63/x
  3. Step 3: Cross multiply
    19,658.25x = 30,479.63 × 30,479.63
  4. Step 4: Simplify right side
    19,658.25x = 929,007,540.14
  5. Step 5: Solve for x
    x = 929,007,540.14/19,658.25
  6. Step 6: Final answer
    x = 47,257.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.