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Finding the Third Proportional to 1,102.22 and 1,653.19

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Solution

The third proportional to 1,102.22 and 1,653.19 is: 2,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.22 : 1,653.19 = 1,653.19 : x
  2. Step 2: Convert to fraction form
    1,102.22/1,653.19 = 1,653.19/x
  3. Step 3: Cross multiply
    1,102.22x = 1,653.19 × 1,653.19
  4. Step 4: Simplify right side
    1,102.22x = 2,733,028.91
  5. Step 5: Solve for x
    x = 2,733,028.91/1,102.22
  6. Step 6: Final answer
    x = 2,479.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.