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Finding the Third Proportional to 31,249.50 and 48,028.50

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Solution

The third proportional to 31,249.50 and 48,028.50 is: 73,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.50 : 48,028.50 = 48,028.50 : x
  2. Step 2: Convert to fraction form
    31,249.50/48,028.50 = 48,028.50/x
  3. Step 3: Cross multiply
    31,249.50x = 48,028.50 × 48,028.50
  4. Step 4: Simplify right side
    31,249.50x = 2,306,736,812.25
  5. Step 5: Solve for x
    x = 2,306,736,812.25/31,249.50
  6. Step 6: Final answer
    x = 73,816.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.