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Finding the Third Proportional to 22,011.75 and 51,404.63

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Solution

The third proportional to 22,011.75 and 51,404.63 is: 120,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.75 : 51,404.63 = 51,404.63 : x
  2. Step 2: Convert to fraction form
    22,011.75/51,404.63 = 51,404.63/x
  3. Step 3: Cross multiply
    22,011.75x = 51,404.63 × 51,404.63
  4. Step 4: Simplify right side
    22,011.75x = 2,642,435,471.39
  5. Step 5: Solve for x
    x = 2,642,435,471.39/22,011.75
  6. Step 6: Final answer
    x = 120,046.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.