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Finding the Third Proportional to 5,501.25 and 7,838.44

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Solution

The third proportional to 5,501.25 and 7,838.44 is: 11,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.25 : 7,838.44 = 7,838.44 : x
  2. Step 2: Convert to fraction form
    5,501.25/7,838.44 = 7,838.44/x
  3. Step 3: Cross multiply
    5,501.25x = 7,838.44 × 7,838.44
  4. Step 4: Simplify right side
    5,501.25x = 61,441,102.44
  5. Step 5: Solve for x
    x = 61,441,102.44/5,501.25
  6. Step 6: Final answer
    x = 11,168.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.