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Finding the Third Proportional to 9,522.75 and 20,892

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Solution

The third proportional to 9,522.75 and 20,892 is: 45,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.75 : 20,892 = 20,892 : x
  2. Step 2: Convert to fraction form
    9,522.75/20,892 = 20,892/x
  3. Step 3: Cross multiply
    9,522.75x = 20,892 × 20,892
  4. Step 4: Simplify right side
    9,522.75x = 436,475,664
  5. Step 5: Solve for x
    x = 436,475,664/9,522.75
  6. Step 6: Final answer
    x = 45,835.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.