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Finding the Third Proportional to 10,982 and 24,150.50

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Solution

The third proportional to 10,982 and 24,150.50 is: 53,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 24,150.50 = 24,150.50 : x
  2. Step 2: Convert to fraction form
    10,982/24,150.50 = 24,150.50/x
  3. Step 3: Cross multiply
    10,982x = 24,150.50 × 24,150.50
  4. Step 4: Simplify right side
    10,982x = 583,246,650.25
  5. Step 5: Solve for x
    x = 583,246,650.25/10,982
  6. Step 6: Final answer
    x = 53,109.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.