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Finding the Third Proportional to 30,237 and 47,675

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Solution

The third proportional to 30,237 and 47,675 is: 75,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237 : 47,675 = 47,675 : x
  2. Step 2: Convert to fraction form
    30,237/47,675 = 47,675/x
  3. Step 3: Cross multiply
    30,237x = 47,675 × 47,675
  4. Step 4: Simplify right side
    30,237x = 2,272,905,625
  5. Step 5: Solve for x
    x = 2,272,905,625/30,237
  6. Step 6: Final answer
    x = 75,169.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.