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Finding the Third Proportional to 4,457 and 9,634

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Solution

The third proportional to 4,457 and 9,634 is: 20,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 9,634 = 9,634 : x
  2. Step 2: Convert to fraction form
    4,457/9,634 = 9,634/x
  3. Step 3: Cross multiply
    4,457x = 9,634 × 9,634
  4. Step 4: Simplify right side
    4,457x = 92,813,956
  5. Step 5: Solve for x
    x = 92,813,956/4,457
  6. Step 6: Final answer
    x = 20,824.31

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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.