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Finding the Third Proportional to 7,057 and 7,678

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Solution

The third proportional to 7,057 and 7,678 is: 8,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057 : 7,678 = 7,678 : x
  2. Step 2: Convert to fraction form
    7,057/7,678 = 7,678/x
  3. Step 3: Cross multiply
    7,057x = 7,678 × 7,678
  4. Step 4: Simplify right side
    7,057x = 58,951,684
  5. Step 5: Solve for x
    x = 58,951,684/7,057
  6. Step 6: Final answer
    x = 8,353.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.