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Finding the Third Proportional to 5,758.88 and 12,542.06

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Solution

The third proportional to 5,758.88 and 12,542.06 is: 27,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.88 : 12,542.06 = 12,542.06 : x
  2. Step 2: Convert to fraction form
    5,758.88/12,542.06 = 12,542.06/x
  3. Step 3: Cross multiply
    5,758.88x = 12,542.06 × 12,542.06
  4. Step 4: Simplify right side
    5,758.88x = 157,303,331.75
  5. Step 5: Solve for x
    x = 157,303,331.75/5,758.88
  6. Step 6: Final answer
    x = 27,314.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.