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Finding the Third Proportional to 4,838.25 and 7,238.63

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Solution

The third proportional to 4,838.25 and 7,238.63 is: 10,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.25 : 7,238.63 = 7,238.63 : x
  2. Step 2: Convert to fraction form
    4,838.25/7,238.63 = 7,238.63/x
  3. Step 3: Cross multiply
    4,838.25x = 7,238.63 × 7,238.63
  4. Step 4: Simplify right side
    4,838.25x = 52,397,691.89
  5. Step 5: Solve for x
    x = 52,397,691.89/4,838.25
  6. Step 6: Final answer
    x = 10,829.89

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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.