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Finding the Third Proportional to 22,431.38 and 47,186.44

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Solution

The third proportional to 22,431.38 and 47,186.44 is: 99,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.38 : 47,186.44 = 47,186.44 : x
  2. Step 2: Convert to fraction form
    22,431.38/47,186.44 = 47,186.44/x
  3. Step 3: Cross multiply
    22,431.38x = 47,186.44 × 47,186.44
  4. Step 4: Simplify right side
    22,431.38x = 2,226,559,883.94
  5. Step 5: Solve for x
    x = 2,226,559,883.94/22,431.38
  6. Step 6: Final answer
    x = 99,260.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.