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Finding the Third Proportional to 24,616.83 and 36,150.05

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Solution

The third proportional to 24,616.83 and 36,150.05 is: 53,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.83 : 36,150.05 = 36,150.05 : x
  2. Step 2: Convert to fraction form
    24,616.83/36,150.05 = 36,150.05/x
  3. Step 3: Cross multiply
    24,616.83x = 36,150.05 × 36,150.05
  4. Step 4: Simplify right side
    24,616.83x = 1,306,825,889.06
  5. Step 5: Solve for x
    x = 1,306,825,889.06/24,616.83
  6. Step 6: Final answer
    x = 53,086.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.