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Finding the Third Proportional to 4,057 and 8,702

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Solution

The third proportional to 4,057 and 8,702 is: 18,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057 : 8,702 = 8,702 : x
  2. Step 2: Convert to fraction form
    4,057/8,702 = 8,702/x
  3. Step 3: Cross multiply
    4,057x = 8,702 × 8,702
  4. Step 4: Simplify right side
    4,057x = 75,724,804
  5. Step 5: Solve for x
    x = 75,724,804/4,057
  6. Step 6: Final answer
    x = 18,665.22

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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.