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Finding the Third Proportional to 9,107.44 and 19,817.44

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Solution

The third proportional to 9,107.44 and 19,817.44 is: 43,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 19,817.44 = 19,817.44 : x
  2. Step 2: Convert to fraction form
    9,107.44/19,817.44 = 19,817.44/x
  3. Step 3: Cross multiply
    9,107.44x = 19,817.44 × 19,817.44
  4. Step 4: Simplify right side
    9,107.44x = 392,730,829.07
  5. Step 5: Solve for x
    x = 392,730,829.07/9,107.44
  6. Step 6: Final answer
    x = 43,121.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.