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Finding the Third Proportional to 24,144.03 and 35,493.63

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Solution

The third proportional to 24,144.03 and 35,493.63 is: 52,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.03 : 35,493.63 = 35,493.63 : x
  2. Step 2: Convert to fraction form
    24,144.03/35,493.63 = 35,493.63/x
  3. Step 3: Cross multiply
    24,144.03x = 35,493.63 × 35,493.63
  4. Step 4: Simplify right side
    24,144.03x = 1,259,797,944.23
  5. Step 5: Solve for x
    x = 1,259,797,944.23/24,144.03
  6. Step 6: Final answer
    x = 52,178.44

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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.