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Finding the Third Proportional to 30,614.50 and 47,286

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Solution

The third proportional to 30,614.50 and 47,286 is: 73,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.50 : 47,286 = 47,286 : x
  2. Step 2: Convert to fraction form
    30,614.50/47,286 = 47,286/x
  3. Step 3: Cross multiply
    30,614.50x = 47,286 × 47,286
  4. Step 4: Simplify right side
    30,614.50x = 2,235,965,796
  5. Step 5: Solve for x
    x = 2,235,965,796/30,614.50
  6. Step 6: Final answer
    x = 73,036.17

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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.