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Finding the Third Proportional to 19,494 and 41,313.38

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Solution

The third proportional to 19,494 and 41,313.38 is: 87,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 41,313.38 = 41,313.38 : x
  2. Step 2: Convert to fraction form
    19,494/41,313.38 = 41,313.38/x
  3. Step 3: Cross multiply
    19,494x = 41,313.38 × 41,313.38
  4. Step 4: Simplify right side
    19,494x = 1,706,794,953.89
  5. Step 5: Solve for x
    x = 1,706,794,953.89/19,494
  6. Step 6: Final answer
    x = 87,554.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.