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Finding the Third Proportional to 4,657 and 9,832

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Solution

The third proportional to 4,657 and 9,832 is: 20,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 9,832 = 9,832 : x
  2. Step 2: Convert to fraction form
    4,657/9,832 = 9,832/x
  3. Step 3: Cross multiply
    4,657x = 9,832 × 9,832
  4. Step 4: Simplify right side
    4,657x = 96,668,224
  5. Step 5: Solve for x
    x = 96,668,224/4,657
  6. Step 6: Final answer
    x = 20,757.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.