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Finding the Third Proportional to 11,701.13 and 28,404

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Solution

The third proportional to 11,701.13 and 28,404 is: 68,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.13 : 28,404 = 28,404 : x
  2. Step 2: Convert to fraction form
    11,701.13/28,404 = 28,404/x
  3. Step 3: Cross multiply
    11,701.13x = 28,404 × 28,404
  4. Step 4: Simplify right side
    11,701.13x = 806,787,216
  5. Step 5: Solve for x
    x = 806,787,216/11,701.13
  6. Step 6: Final answer
    x = 68,949.54

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.