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Finding the Third Proportional to 3,669.21 and 9,922.66

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Solution

The third proportional to 3,669.21 and 9,922.66 is: 26,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.21 : 9,922.66 = 9,922.66 : x
  2. Step 2: Convert to fraction form
    3,669.21/9,922.66 = 9,922.66/x
  3. Step 3: Cross multiply
    3,669.21x = 9,922.66 × 9,922.66
  4. Step 4: Simplify right side
    3,669.21x = 98,459,145.82
  5. Step 5: Solve for x
    x = 98,459,145.82/3,669.21
  6. Step 6: Final answer
    x = 26,833.92

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.