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Finding the Third Proportional to 10,263.75 and 22,110.75

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Solution

The third proportional to 10,263.75 and 22,110.75 is: 47,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.75 : 22,110.75 = 22,110.75 : x
  2. Step 2: Convert to fraction form
    10,263.75/22,110.75 = 22,110.75/x
  3. Step 3: Cross multiply
    10,263.75x = 22,110.75 × 22,110.75
  4. Step 4: Simplify right side
    10,263.75x = 488,885,265.56
  5. Step 5: Solve for x
    x = 488,885,265.56/10,263.75
  6. Step 6: Final answer
    x = 47,632.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.