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Finding the Third Proportional to 3,720.94 and 9,174.94

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Solution

The third proportional to 3,720.94 and 9,174.94 is: 22,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.94 : 9,174.94 = 9,174.94 : x
  2. Step 2: Convert to fraction form
    3,720.94/9,174.94 = 9,174.94/x
  3. Step 3: Cross multiply
    3,720.94x = 9,174.94 × 9,174.94
  4. Step 4: Simplify right side
    3,720.94x = 84,179,478.13
  5. Step 5: Solve for x
    x = 84,179,478.13/3,720.94
  6. Step 6: Final answer
    x = 22,623.19

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.