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Finding the Third Proportional to 1,837.13 and 4,266.56

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Solution

The third proportional to 1,837.13 and 4,266.56 is: 9,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.13 : 4,266.56 = 4,266.56 : x
  2. Step 2: Convert to fraction form
    1,837.13/4,266.56 = 4,266.56/x
  3. Step 3: Cross multiply
    1,837.13x = 4,266.56 × 4,266.56
  4. Step 4: Simplify right side
    1,837.13x = 18,203,555.57
  5. Step 5: Solve for x
    x = 18,203,555.57/1,837.13
  6. Step 6: Final answer
    x = 9,908.72

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.