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Finding the Third Proportional to 24,015 and 35,400.75

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Solution

The third proportional to 24,015 and 35,400.75 is: 52,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015 : 35,400.75 = 35,400.75 : x
  2. Step 2: Convert to fraction form
    24,015/35,400.75 = 35,400.75/x
  3. Step 3: Cross multiply
    24,015x = 35,400.75 × 35,400.75
  4. Step 4: Simplify right side
    24,015x = 1,253,213,100.56
  5. Step 5: Solve for x
    x = 1,253,213,100.56/24,015
  6. Step 6: Final answer
    x = 52,184.60

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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.