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Finding the Third Proportional to 10,072 and 22,976

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Solution

The third proportional to 10,072 and 22,976 is: 52,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 22,976 = 22,976 : x
  2. Step 2: Convert to fraction form
    10,072/22,976 = 22,976/x
  3. Step 3: Cross multiply
    10,072x = 22,976 × 22,976
  4. Step 4: Simplify right side
    10,072x = 527,896,576
  5. Step 5: Solve for x
    x = 527,896,576/10,072
  6. Step 6: Final answer
    x = 52,412.29

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.