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Finding the Third Proportional to 24,922.69 and 36,343.69

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Solution

The third proportional to 24,922.69 and 36,343.69 is: 52,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.69 : 36,343.69 = 36,343.69 : x
  2. Step 2: Convert to fraction form
    24,922.69/36,343.69 = 36,343.69/x
  3. Step 3: Cross multiply
    24,922.69x = 36,343.69 × 36,343.69
  4. Step 4: Simplify right side
    24,922.69x = 1,320,863,621.10
  5. Step 5: Solve for x
    x = 1,320,863,621.10/24,922.69
  6. Step 6: Final answer
    x = 52,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.