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Finding the Third Proportional to 8,000 and 17,457

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Solution

The third proportional to 8,000 and 17,457 is: 38,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 17,457 = 17,457 : x
  2. Step 2: Convert to fraction form
    8,000/17,457 = 17,457/x
  3. Step 3: Cross multiply
    8,000x = 17,457 × 17,457
  4. Step 4: Simplify right side
    8,000x = 304,746,849
  5. Step 5: Solve for x
    x = 304,746,849/8,000
  6. Step 6: Final answer
    x = 38,093.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.