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Finding the Third Proportional to 18,153.81 and 24,509.78

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Solution

The third proportional to 18,153.81 and 24,509.78 is: 33,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,153.81 : 24,509.78 = 24,509.78 : x
  2. Step 2: Convert to fraction form
    18,153.81/24,509.78 = 24,509.78/x
  3. Step 3: Cross multiply
    18,153.81x = 24,509.78 × 24,509.78
  4. Step 4: Simplify right side
    18,153.81x = 600,729,185.44
  5. Step 5: Solve for x
    x = 600,729,185.44/18,153.81
  6. Step 6: Final answer
    x = 33,091.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.