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Finding the Third Proportional to 17,901 and 41,801.06

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Solution

The third proportional to 17,901 and 41,801.06 is: 97,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901 : 41,801.06 = 41,801.06 : x
  2. Step 2: Convert to fraction form
    17,901/41,801.06 = 41,801.06/x
  3. Step 3: Cross multiply
    17,901x = 41,801.06 × 41,801.06
  4. Step 4: Simplify right side
    17,901x = 1,747,328,826.13
  5. Step 5: Solve for x
    x = 1,747,328,826.13/17,901
  6. Step 6: Final answer
    x = 97,610.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.