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Finding the Third Proportional to 5,690 and 9,134

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Solution

The third proportional to 5,690 and 9,134 is: 14,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 9,134 = 9,134 : x
  2. Step 2: Convert to fraction form
    5,690/9,134 = 9,134/x
  3. Step 3: Cross multiply
    5,690x = 9,134 × 9,134
  4. Step 4: Simplify right side
    5,690x = 83,429,956
  5. Step 5: Solve for x
    x = 83,429,956/5,690
  6. Step 6: Final answer
    x = 14,662.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.