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Finding the Third Proportional to 9,537.75 and 22,097.81

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Solution

The third proportional to 9,537.75 and 22,097.81 is: 51,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 22,097.81 = 22,097.81 : x
  2. Step 2: Convert to fraction form
    9,537.75/22,097.81 = 22,097.81/x
  3. Step 3: Cross multiply
    9,537.75x = 22,097.81 × 22,097.81
  4. Step 4: Simplify right side
    9,537.75x = 488,313,317.29
  5. Step 5: Solve for x
    x = 488,313,317.29/9,537.75
  6. Step 6: Final answer
    x = 51,197.96

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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.