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Finding the Third Proportional to 7,702 and 16,457

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Solution

The third proportional to 7,702 and 16,457 is: 35,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 16,457 = 16,457 : x
  2. Step 2: Convert to fraction form
    7,702/16,457 = 16,457/x
  3. Step 3: Cross multiply
    7,702x = 16,457 × 16,457
  4. Step 4: Simplify right side
    7,702x = 270,832,849
  5. Step 5: Solve for x
    x = 270,832,849/7,702
  6. Step 6: Final answer
    x = 35,163.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.