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Finding the Third Proportional to 5,954.50 and 13,061

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Solution

The third proportional to 5,954.50 and 13,061 is: 28,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.50 : 13,061 = 13,061 : x
  2. Step 2: Convert to fraction form
    5,954.50/13,061 = 13,061/x
  3. Step 3: Cross multiply
    5,954.50x = 13,061 × 13,061
  4. Step 4: Simplify right side
    5,954.50x = 170,589,721
  5. Step 5: Solve for x
    x = 170,589,721/5,954.50
  6. Step 6: Final answer
    x = 28,648.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.