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Finding the Third Proportional to 2,458.00 and 5,305.03

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Solution

The third proportional to 2,458.00 and 5,305.03 is: 11,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.00 : 5,305.03 = 5,305.03 : x
  2. Step 2: Convert to fraction form
    2,458.00/5,305.03 = 5,305.03/x
  3. Step 3: Cross multiply
    2,458.00x = 5,305.03 × 5,305.03
  4. Step 4: Simplify right side
    2,458.00x = 28,143,294.40
  5. Step 5: Solve for x
    x = 28,143,294.40/2,458.00
  6. Step 6: Final answer
    x = 11,449.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.