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Finding the Third Proportional to 49,524 and 77,324

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Solution

The third proportional to 49,524 and 77,324 is: 120,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524 : 77,324 = 77,324 : x
  2. Step 2: Convert to fraction form
    49,524/77,324 = 77,324/x
  3. Step 3: Cross multiply
    49,524x = 77,324 × 77,324
  4. Step 4: Simplify right side
    49,524x = 5,979,000,976
  5. Step 5: Solve for x
    x = 5,979,000,976/49,524
  6. Step 6: Final answer
    x = 120,729.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.