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Finding the Third Proportional to 10,299.38 and 22,487.63

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Solution

The third proportional to 10,299.38 and 22,487.63 is: 49,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.38 : 22,487.63 = 22,487.63 : x
  2. Step 2: Convert to fraction form
    10,299.38/22,487.63 = 22,487.63/x
  3. Step 3: Cross multiply
    10,299.38x = 22,487.63 × 22,487.63
  4. Step 4: Simplify right side
    10,299.38x = 505,693,278.14
  5. Step 5: Solve for x
    x = 505,693,278.14/10,299.38
  6. Step 6: Final answer
    x = 49,099.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.