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Finding the Third Proportional to 47,524 and 74,750

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Solution

The third proportional to 47,524 and 74,750 is: 117,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524 : 74,750 = 74,750 : x
  2. Step 2: Convert to fraction form
    47,524/74,750 = 74,750/x
  3. Step 3: Cross multiply
    47,524x = 74,750 × 74,750
  4. Step 4: Simplify right side
    47,524x = 5,587,562,500
  5. Step 5: Solve for x
    x = 5,587,562,500/47,524
  6. Step 6: Final answer
    x = 117,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.