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Finding the Third Proportional to 10,522.25 and 23,120.25

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Solution

The third proportional to 10,522.25 and 23,120.25 is: 50,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.25 : 23,120.25 = 23,120.25 : x
  2. Step 2: Convert to fraction form
    10,522.25/23,120.25 = 23,120.25/x
  3. Step 3: Cross multiply
    10,522.25x = 23,120.25 × 23,120.25
  4. Step 4: Simplify right side
    10,522.25x = 534,545,960.06
  5. Step 5: Solve for x
    x = 534,545,960.06/10,522.25
  6. Step 6: Final answer
    x = 50,801.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.