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Finding the Third Proportional to 11,261.06 and 17,665.03

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Solution

The third proportional to 11,261.06 and 17,665.03 is: 27,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.06 : 17,665.03 = 17,665.03 : x
  2. Step 2: Convert to fraction form
    11,261.06/17,665.03 = 17,665.03/x
  3. Step 3: Cross multiply
    11,261.06x = 17,665.03 × 17,665.03
  4. Step 4: Simplify right side
    11,261.06x = 312,053,329.06
  5. Step 5: Solve for x
    x = 312,053,329.06/11,261.06
  6. Step 6: Final answer
    x = 27,710.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.