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Finding the Third Proportional to 10,136.25 and 22,140.56

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Solution

The third proportional to 10,136.25 and 22,140.56 is: 48,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.25 : 22,140.56 = 22,140.56 : x
  2. Step 2: Convert to fraction form
    10,136.25/22,140.56 = 22,140.56/x
  3. Step 3: Cross multiply
    10,136.25x = 22,140.56 × 22,140.56
  4. Step 4: Simplify right side
    10,136.25x = 490,204,507.82
  5. Step 5: Solve for x
    x = 490,204,507.82/10,136.25
  6. Step 6: Final answer
    x = 48,361.53

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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.