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Finding the Third Proportional to 17,530.17 and 41,029.03

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Solution

The third proportional to 17,530.17 and 41,029.03 is: 96,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.17 : 41,029.03 = 41,029.03 : x
  2. Step 2: Convert to fraction form
    17,530.17/41,029.03 = 41,029.03/x
  3. Step 3: Cross multiply
    17,530.17x = 41,029.03 × 41,029.03
  4. Step 4: Simplify right side
    17,530.17x = 1,683,381,405.31
  5. Step 5: Solve for x
    x = 1,683,381,405.31/17,530.17
  6. Step 6: Final answer
    x = 96,027.66

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