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Finding the Third Proportional to 9,657 and 20,893

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Solution

The third proportional to 9,657 and 20,893 is: 45,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 20,893 = 20,893 : x
  2. Step 2: Convert to fraction form
    9,657/20,893 = 20,893/x
  3. Step 3: Cross multiply
    9,657x = 20,893 × 20,893
  4. Step 4: Simplify right side
    9,657x = 436,517,449
  5. Step 5: Solve for x
    x = 436,517,449/9,657
  6. Step 6: Final answer
    x = 45,202.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.