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Finding the Third Proportional to 17,982 and 28,729

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Solution

The third proportional to 17,982 and 28,729 is: 45,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 28,729 = 28,729 : x
  2. Step 2: Convert to fraction form
    17,982/28,729 = 28,729/x
  3. Step 3: Cross multiply
    17,982x = 28,729 × 28,729
  4. Step 4: Simplify right side
    17,982x = 825,355,441
  5. Step 5: Solve for x
    x = 825,355,441/17,982
  6. Step 6: Final answer
    x = 45,898.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.