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Finding the Third Proportional to 10,112 and 20,710

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Solution

The third proportional to 10,112 and 20,710 is: 42,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112 : 20,710 = 20,710 : x
  2. Step 2: Convert to fraction form
    10,112/20,710 = 20,710/x
  3. Step 3: Cross multiply
    10,112x = 20,710 × 20,710
  4. Step 4: Simplify right side
    10,112x = 428,904,100
  5. Step 5: Solve for x
    x = 428,904,100/10,112
  6. Step 6: Final answer
    x = 42,415.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.