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Finding the Third Proportional to 9,170.44 and 20,098.97

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Solution

The third proportional to 9,170.44 and 20,098.97 is: 44,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.44 : 20,098.97 = 20,098.97 : x
  2. Step 2: Convert to fraction form
    9,170.44/20,098.97 = 20,098.97/x
  3. Step 3: Cross multiply
    9,170.44x = 20,098.97 × 20,098.97
  4. Step 4: Simplify right side
    9,170.44x = 403,968,544.81
  5. Step 5: Solve for x
    x = 403,968,544.81/9,170.44
  6. Step 6: Final answer
    x = 44,051.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.