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Finding the Third Proportional to 5,767.45 and 12,560.06

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Solution

The third proportional to 5,767.45 and 12,560.06 is: 27,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.45 : 12,560.06 = 12,560.06 : x
  2. Step 2: Convert to fraction form
    5,767.45/12,560.06 = 12,560.06/x
  3. Step 3: Cross multiply
    5,767.45x = 12,560.06 × 12,560.06
  4. Step 4: Simplify right side
    5,767.45x = 157,755,170.00
  5. Step 5: Solve for x
    x = 157,755,170.00/5,767.45
  6. Step 6: Final answer
    x = 27,352.66

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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.