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Finding the Third Proportional to 10,113 and 20,638

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Solution

The third proportional to 10,113 and 20,638 is: 42,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 20,638 = 20,638 : x
  2. Step 2: Convert to fraction form
    10,113/20,638 = 20,638/x
  3. Step 3: Cross multiply
    10,113x = 20,638 × 20,638
  4. Step 4: Simplify right side
    10,113x = 425,927,044
  5. Step 5: Solve for x
    x = 425,927,044/10,113
  6. Step 6: Final answer
    x = 42,116.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.