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Finding the Third Proportional to 3,180.52 and 4,805.58

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Solution

The third proportional to 3,180.52 and 4,805.58 is: 7,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.52 : 4,805.58 = 4,805.58 : x
  2. Step 2: Convert to fraction form
    3,180.52/4,805.58 = 4,805.58/x
  3. Step 3: Cross multiply
    3,180.52x = 4,805.58 × 4,805.58
  4. Step 4: Simplify right side
    3,180.52x = 23,093,581.12
  5. Step 5: Solve for x
    x = 23,093,581.12/3,180.52
  6. Step 6: Final answer
    x = 7,260.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.