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Finding the Third Proportional to 10,600 and 23,022

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Solution

The third proportional to 10,600 and 23,022 is: 50,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600 : 23,022 = 23,022 : x
  2. Step 2: Convert to fraction form
    10,600/23,022 = 23,022/x
  3. Step 3: Cross multiply
    10,600x = 23,022 × 23,022
  4. Step 4: Simplify right side
    10,600x = 530,012,484
  5. Step 5: Solve for x
    x = 530,012,484/10,600
  6. Step 6: Final answer
    x = 50,001.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.