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Finding the Third Proportional to 24,057 and 36,028.55

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Solution

The third proportional to 24,057 and 36,028.55 is: 53,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 36,028.55 = 36,028.55 : x
  2. Step 2: Convert to fraction form
    24,057/36,028.55 = 36,028.55/x
  3. Step 3: Cross multiply
    24,057x = 36,028.55 × 36,028.55
  4. Step 4: Simplify right side
    24,057x = 1,298,056,189.92
  5. Step 5: Solve for x
    x = 1,298,056,189.92/24,057
  6. Step 6: Final answer
    x = 53,957.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.