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Finding the Third Proportional to 5,489 and 10,702

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Solution

The third proportional to 5,489 and 10,702 is: 20,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489 : 10,702 = 10,702 : x
  2. Step 2: Convert to fraction form
    5,489/10,702 = 10,702/x
  3. Step 3: Cross multiply
    5,489x = 10,702 × 10,702
  4. Step 4: Simplify right side
    5,489x = 114,532,804
  5. Step 5: Solve for x
    x = 114,532,804/5,489
  6. Step 6: Final answer
    x = 20,865.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.