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Finding the Third Proportional to 17,982 and 43,011

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Solution

The third proportional to 17,982 and 43,011 is: 102,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 43,011 = 43,011 : x
  2. Step 2: Convert to fraction form
    17,982/43,011 = 43,011/x
  3. Step 3: Cross multiply
    17,982x = 43,011 × 43,011
  4. Step 4: Simplify right side
    17,982x = 1,849,946,121
  5. Step 5: Solve for x
    x = 1,849,946,121/17,982
  6. Step 6: Final answer
    x = 102,877.66

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.