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Finding the Third Proportional to 2,952.07 and 3,837.22

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Solution

The third proportional to 2,952.07 and 3,837.22 is: 4,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.07 : 3,837.22 = 3,837.22 : x
  2. Step 2: Convert to fraction form
    2,952.07/3,837.22 = 3,837.22/x
  3. Step 3: Cross multiply
    2,952.07x = 3,837.22 × 3,837.22
  4. Step 4: Simplify right side
    2,952.07x = 14,724,232.75
  5. Step 5: Solve for x
    x = 14,724,232.75/2,952.07
  6. Step 6: Final answer
    x = 4,987.76

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.