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Finding the Third Proportional to 6,636.38 and 9,680.63

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Solution

The third proportional to 6,636.38 and 9,680.63 is: 14,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636.38 : 9,680.63 = 9,680.63 : x
  2. Step 2: Convert to fraction form
    6,636.38/9,680.63 = 9,680.63/x
  3. Step 3: Cross multiply
    6,636.38x = 9,680.63 × 9,680.63
  4. Step 4: Simplify right side
    6,636.38x = 93,714,500.39
  5. Step 5: Solve for x
    x = 93,714,500.39/6,636.38
  6. Step 6: Final answer
    x = 14,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.