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Finding the Third Proportional to 3,181.78 and 3,445.03

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Solution

The third proportional to 3,181.78 and 3,445.03 is: 3,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 3,445.03 = 3,445.03 : x
  2. Step 2: Convert to fraction form
    3,181.78/3,445.03 = 3,445.03/x
  3. Step 3: Cross multiply
    3,181.78x = 3,445.03 × 3,445.03
  4. Step 4: Simplify right side
    3,181.78x = 11,868,240.31
  5. Step 5: Solve for x
    x = 11,868,240.31/3,181.78
  6. Step 6: Final answer
    x = 3,730.06

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.