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Finding the Third Proportional to 3,187.48 and 4,835.32

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Solution

The third proportional to 3,187.48 and 4,835.32 is: 7,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.48 : 4,835.32 = 4,835.32 : x
  2. Step 2: Convert to fraction form
    3,187.48/4,835.32 = 4,835.32/x
  3. Step 3: Cross multiply
    3,187.48x = 4,835.32 × 4,835.32
  4. Step 4: Simplify right side
    3,187.48x = 23,380,322.52
  5. Step 5: Solve for x
    x = 23,380,322.52/3,187.48
  6. Step 6: Final answer
    x = 7,335.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.