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Finding the Third Proportional to 18,057 and 24,598.50

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Solution

The third proportional to 18,057 and 24,598.50 is: 33,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057 : 24,598.50 = 24,598.50 : x
  2. Step 2: Convert to fraction form
    18,057/24,598.50 = 24,598.50/x
  3. Step 3: Cross multiply
    18,057x = 24,598.50 × 24,598.50
  4. Step 4: Simplify right side
    18,057x = 605,086,202.25
  5. Step 5: Solve for x
    x = 605,086,202.25/18,057
  6. Step 6: Final answer
    x = 33,509.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.