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Finding the Third Proportional to 15,249.50 and 22,023.50

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Solution

The third proportional to 15,249.50 and 22,023.50 is: 31,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,249.50 : 22,023.50 = 22,023.50 : x
  2. Step 2: Convert to fraction form
    15,249.50/22,023.50 = 22,023.50/x
  3. Step 3: Cross multiply
    15,249.50x = 22,023.50 × 22,023.50
  4. Step 4: Simplify right side
    15,249.50x = 485,034,552.25
  5. Step 5: Solve for x
    x = 485,034,552.25/15,249.50
  6. Step 6: Final answer
    x = 31,806.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.