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Finding the Third Proportional to 7,441.88 and 18,349.88

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Solution

The third proportional to 7,441.88 and 18,349.88 is: 45,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.88 : 18,349.88 = 18,349.88 : x
  2. Step 2: Convert to fraction form
    7,441.88/18,349.88 = 18,349.88/x
  3. Step 3: Cross multiply
    7,441.88x = 18,349.88 × 18,349.88
  4. Step 4: Simplify right side
    7,441.88x = 336,717,912.52
  5. Step 5: Solve for x
    x = 336,717,912.52/7,441.88
  6. Step 6: Final answer
    x = 45,246.38

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.