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Finding the Third Proportional to 6,109 and 9,785

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Solution

The third proportional to 6,109 and 9,785 is: 15,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 9,785 = 9,785 : x
  2. Step 2: Convert to fraction form
    6,109/9,785 = 9,785/x
  3. Step 3: Cross multiply
    6,109x = 9,785 × 9,785
  4. Step 4: Simplify right side
    6,109x = 95,746,225
  5. Step 5: Solve for x
    x = 95,746,225/6,109
  6. Step 6: Final answer
    x = 15,672.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.