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Finding the Third Proportional to 7,736.77 and 11,422.27

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Solution

The third proportional to 7,736.77 and 11,422.27 is: 16,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.77 : 11,422.27 = 11,422.27 : x
  2. Step 2: Convert to fraction form
    7,736.77/11,422.27 = 11,422.27/x
  3. Step 3: Cross multiply
    7,736.77x = 11,422.27 × 11,422.27
  4. Step 4: Simplify right side
    7,736.77x = 130,468,152.01
  5. Step 5: Solve for x
    x = 130,468,152.01/7,736.77
  6. Step 6: Final answer
    x = 16,863.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.