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Finding the Third Proportional to 2,476.03 and 5,438.06

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Solution

The third proportional to 2,476.03 and 5,438.06 is: 11,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.03 : 5,438.06 = 5,438.06 : x
  2. Step 2: Convert to fraction form
    2,476.03/5,438.06 = 5,438.06/x
  3. Step 3: Cross multiply
    2,476.03x = 5,438.06 × 5,438.06
  4. Step 4: Simplify right side
    2,476.03x = 29,572,523.75
  5. Step 5: Solve for x
    x = 29,572,523.75/2,476.03
  6. Step 6: Final answer
    x = 11,943.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.