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Finding the Third Proportional to 2,035.13 and 5,065.03

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Solution

The third proportional to 2,035.13 and 5,065.03 is: 12,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 5,065.03 = 5,065.03 : x
  2. Step 2: Convert to fraction form
    2,035.13/5,065.03 = 5,065.03/x
  3. Step 3: Cross multiply
    2,035.13x = 5,065.03 × 5,065.03
  4. Step 4: Simplify right side
    2,035.13x = 25,654,541.56
  5. Step 5: Solve for x
    x = 25,654,541.56/2,035.13
  6. Step 6: Final answer
    x = 12,605.88

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.