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Finding the Third Proportional to 10,122 and 20,748

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Solution

The third proportional to 10,122 and 20,748 is: 42,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 20,748 = 20,748 : x
  2. Step 2: Convert to fraction form
    10,122/20,748 = 20,748/x
  3. Step 3: Cross multiply
    10,122x = 20,748 × 20,748
  4. Step 4: Simplify right side
    10,122x = 430,479,504
  5. Step 5: Solve for x
    x = 430,479,504/10,122
  6. Step 6: Final answer
    x = 42,529.10

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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.