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Finding the Third Proportional to 8,685 and 16,134.75

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Solution

The third proportional to 8,685 and 16,134.75 is: 29,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 16,134.75 = 16,134.75 : x
  2. Step 2: Convert to fraction form
    8,685/16,134.75 = 16,134.75/x
  3. Step 3: Cross multiply
    8,685x = 16,134.75 × 16,134.75
  4. Step 4: Simplify right side
    8,685x = 260,330,157.56
  5. Step 5: Solve for x
    x = 260,330,157.56/8,685
  6. Step 6: Final answer
    x = 29,974.69

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.