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Finding the Third Proportional to 6,676.17 and 9,911.32

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Solution

The third proportional to 6,676.17 and 9,911.32 is: 14,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.17 : 9,911.32 = 9,911.32 : x
  2. Step 2: Convert to fraction form
    6,676.17/9,911.32 = 9,911.32/x
  3. Step 3: Cross multiply
    6,676.17x = 9,911.32 × 9,911.32
  4. Step 4: Simplify right side
    6,676.17x = 98,234,270.34
  5. Step 5: Solve for x
    x = 98,234,270.34/6,676.17
  6. Step 6: Final answer
    x = 14,714.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.