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Finding the Third Proportional to 22,631.91 and 52,617.09

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Solution

The third proportional to 22,631.91 and 52,617.09 is: 122,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.91 : 52,617.09 = 52,617.09 : x
  2. Step 2: Convert to fraction form
    22,631.91/52,617.09 = 52,617.09/x
  3. Step 3: Cross multiply
    22,631.91x = 52,617.09 × 52,617.09
  4. Step 4: Simplify right side
    22,631.91x = 2,768,558,554.70
  5. Step 5: Solve for x
    x = 2,768,558,554.70/22,631.91
  6. Step 6: Final answer
    x = 122,329.89

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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.