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Finding the Third Proportional to 5,702 and 8,501

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Solution

The third proportional to 5,702 and 8,501 is: 12,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 8,501 = 8,501 : x
  2. Step 2: Convert to fraction form
    5,702/8,501 = 8,501/x
  3. Step 3: Cross multiply
    5,702x = 8,501 × 8,501
  4. Step 4: Simplify right side
    5,702x = 72,267,001
  5. Step 5: Solve for x
    x = 72,267,001/5,702
  6. Step 6: Final answer
    x = 12,673.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.