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Finding the Third Proportional to 9,104.91 and 19,474.17

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Solution

The third proportional to 9,104.91 and 19,474.17 is: 41,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.91 : 19,474.17 = 19,474.17 : x
  2. Step 2: Convert to fraction form
    9,104.91/19,474.17 = 19,474.17/x
  3. Step 3: Cross multiply
    9,104.91x = 19,474.17 × 19,474.17
  4. Step 4: Simplify right side
    9,104.91x = 379,243,370.22
  5. Step 5: Solve for x
    x = 379,243,370.22/9,104.91
  6. Step 6: Final answer
    x = 41,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.