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Finding the Third Proportional to 3,178.13 and 4,832.25

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Solution

The third proportional to 3,178.13 and 4,832.25 is: 7,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.13 : 4,832.25 = 4,832.25 : x
  2. Step 2: Convert to fraction form
    3,178.13/4,832.25 = 4,832.25/x
  3. Step 3: Cross multiply
    3,178.13x = 4,832.25 × 4,832.25
  4. Step 4: Simplify right side
    3,178.13x = 23,350,640.06
  5. Step 5: Solve for x
    x = 23,350,640.06/3,178.13
  6. Step 6: Final answer
    x = 7,347.30

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