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Finding the Third Proportional to 1,181.22 and 1,737.62

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Solution

The third proportional to 1,181.22 and 1,737.62 is: 2,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.22 : 1,737.62 = 1,737.62 : x
  2. Step 2: Convert to fraction form
    1,181.22/1,737.62 = 1,737.62/x
  3. Step 3: Cross multiply
    1,181.22x = 1,737.62 × 1,737.62
  4. Step 4: Simplify right side
    1,181.22x = 3,019,337.25
  5. Step 5: Solve for x
    x = 3,019,337.25/1,181.22
  6. Step 6: Final answer
    x = 2,556.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.