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Finding the Third Proportional to 30,524 and 47,238

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Solution

The third proportional to 30,524 and 47,238 is: 73,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524 : 47,238 = 47,238 : x
  2. Step 2: Convert to fraction form
    30,524/47,238 = 47,238/x
  3. Step 3: Cross multiply
    30,524x = 47,238 × 47,238
  4. Step 4: Simplify right side
    30,524x = 2,231,428,644
  5. Step 5: Solve for x
    x = 2,231,428,644/30,524
  6. Step 6: Final answer
    x = 73,104.07

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Why These Related Problems?

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