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Finding the Third Proportional to 22,494.66 and 52,076.39

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Solution

The third proportional to 22,494.66 and 52,076.39 is: 120,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.66 : 52,076.39 = 52,076.39 : x
  2. Step 2: Convert to fraction form
    22,494.66/52,076.39 = 52,076.39/x
  3. Step 3: Cross multiply
    22,494.66x = 52,076.39 × 52,076.39
  4. Step 4: Simplify right side
    22,494.66x = 2,711,950,460.53
  5. Step 5: Solve for x
    x = 2,711,950,460.53/22,494.66
  6. Step 6: Final answer
    x = 120,559.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.