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Finding the Third Proportional to 3,181.38 and 4,582.06

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Solution

The third proportional to 3,181.38 and 4,582.06 is: 6,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.38 : 4,582.06 = 4,582.06 : x
  2. Step 2: Convert to fraction form
    3,181.38/4,582.06 = 4,582.06/x
  3. Step 3: Cross multiply
    3,181.38x = 4,582.06 × 4,582.06
  4. Step 4: Simplify right side
    3,181.38x = 20,995,296.75
  5. Step 5: Solve for x
    x = 20,995,296.75/3,181.38
  6. Step 6: Final answer
    x = 6,599.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.