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Finding the Third Proportional to 6,838.17 and 9,632.67

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Solution

The third proportional to 6,838.17 and 9,632.67 is: 13,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.17 : 9,632.67 = 9,632.67 : x
  2. Step 2: Convert to fraction form
    6,838.17/9,632.67 = 9,632.67/x
  3. Step 3: Cross multiply
    6,838.17x = 9,632.67 × 9,632.67
  4. Step 4: Simplify right side
    6,838.17x = 92,788,367.45
  5. Step 5: Solve for x
    x = 92,788,367.45/6,838.17
  6. Step 6: Final answer
    x = 13,569.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.