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Finding the Third Proportional to 17,002 and 18,658

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Solution

The third proportional to 17,002 and 18,658 is: 20,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 18,658 = 18,658 : x
  2. Step 2: Convert to fraction form
    17,002/18,658 = 18,658/x
  3. Step 3: Cross multiply
    17,002x = 18,658 × 18,658
  4. Step 4: Simplify right side
    17,002x = 348,120,964
  5. Step 5: Solve for x
    x = 348,120,964/17,002
  6. Step 6: Final answer
    x = 20,475.29

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.