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Finding the Third Proportional to 10,455.75 and 11,522.25

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Solution

The third proportional to 10,455.75 and 11,522.25 is: 12,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 11,522.25 = 11,522.25 : x
  2. Step 2: Convert to fraction form
    10,455.75/11,522.25 = 11,522.25/x
  3. Step 3: Cross multiply
    10,455.75x = 11,522.25 × 11,522.25
  4. Step 4: Simplify right side
    10,455.75x = 132,762,245.06
  5. Step 5: Solve for x
    x = 132,762,245.06/10,455.75
  6. Step 6: Final answer
    x = 12,697.53

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.