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Finding the Third Proportional to 10,948 and 16,982.25

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Solution

The third proportional to 10,948 and 16,982.25 is: 26,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 16,982.25 = 16,982.25 : x
  2. Step 2: Convert to fraction form
    10,948/16,982.25 = 16,982.25/x
  3. Step 3: Cross multiply
    10,948x = 16,982.25 × 16,982.25
  4. Step 4: Simplify right side
    10,948x = 288,396,815.06
  5. Step 5: Solve for x
    x = 288,396,815.06/10,948
  6. Step 6: Final answer
    x = 26,342.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.