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Finding the Third Proportional to 11,616.75 and 17,533.97

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Solution

The third proportional to 11,616.75 and 17,533.97 is: 26,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.75 : 17,533.97 = 17,533.97 : x
  2. Step 2: Convert to fraction form
    11,616.75/17,533.97 = 17,533.97/x
  3. Step 3: Cross multiply
    11,616.75x = 17,533.97 × 17,533.97
  4. Step 4: Simplify right side
    11,616.75x = 307,440,060.13
  5. Step 5: Solve for x
    x = 307,440,060.13/11,616.75
  6. Step 6: Final answer
    x = 26,465.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.