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Finding the Third Proportional to 10,530 and 22,692

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Solution

The third proportional to 10,530 and 22,692 is: 48,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 22,692 = 22,692 : x
  2. Step 2: Convert to fraction form
    10,530/22,692 = 22,692/x
  3. Step 3: Cross multiply
    10,530x = 22,692 × 22,692
  4. Step 4: Simplify right side
    10,530x = 514,926,864
  5. Step 5: Solve for x
    x = 514,926,864/10,530
  6. Step 6: Final answer
    x = 48,900.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.