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Finding the Third Proportional to 10,772.16 and 23,274

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Solution

The third proportional to 10,772.16 and 23,274 is: 50,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.16 : 23,274 = 23,274 : x
  2. Step 2: Convert to fraction form
    10,772.16/23,274 = 23,274/x
  3. Step 3: Cross multiply
    10,772.16x = 23,274 × 23,274
  4. Step 4: Simplify right side
    10,772.16x = 541,679,076
  5. Step 5: Solve for x
    x = 541,679,076/10,772.16
  6. Step 6: Final answer
    x = 50,285.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.