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Finding the Third Proportional to 11,349.56 and 17,616.94

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Solution

The third proportional to 11,349.56 and 17,616.94 is: 27,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.56 : 17,616.94 = 17,616.94 : x
  2. Step 2: Convert to fraction form
    11,349.56/17,616.94 = 17,616.94/x
  3. Step 3: Cross multiply
    11,349.56x = 17,616.94 × 17,616.94
  4. Step 4: Simplify right side
    11,349.56x = 310,356,486.88
  5. Step 5: Solve for x
    x = 310,356,486.88/11,349.56
  6. Step 6: Final answer
    x = 27,345.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.