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Finding the Third Proportional to 7,206 and 9,685

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Solution

The third proportional to 7,206 and 9,685 is: 13,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 9,685 = 9,685 : x
  2. Step 2: Convert to fraction form
    7,206/9,685 = 9,685/x
  3. Step 3: Cross multiply
    7,206x = 9,685 × 9,685
  4. Step 4: Simplify right side
    7,206x = 93,799,225
  5. Step 5: Solve for x
    x = 93,799,225/7,206
  6. Step 6: Final answer
    x = 13,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.