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Finding the Third Proportional to 4,522.50 and 10,893.38

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Solution

The third proportional to 4,522.50 and 10,893.38 is: 26,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.50 : 10,893.38 = 10,893.38 : x
  2. Step 2: Convert to fraction form
    4,522.50/10,893.38 = 10,893.38/x
  3. Step 3: Cross multiply
    4,522.50x = 10,893.38 × 10,893.38
  4. Step 4: Simplify right side
    4,522.50x = 118,665,618.89
  5. Step 5: Solve for x
    x = 118,665,618.89/4,522.50
  6. Step 6: Final answer
    x = 26,238.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.