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Finding the Third Proportional to 10,806.75 and 22,899.38

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Solution

The third proportional to 10,806.75 and 22,899.38 is: 48,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 22,899.38 = 22,899.38 : x
  2. Step 2: Convert to fraction form
    10,806.75/22,899.38 = 22,899.38/x
  3. Step 3: Cross multiply
    10,806.75x = 22,899.38 × 22,899.38
  4. Step 4: Simplify right side
    10,806.75x = 524,381,375.39
  5. Step 5: Solve for x
    x = 524,381,375.39/10,806.75
  6. Step 6: Final answer
    x = 48,523.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.