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Finding the Third Proportional to 6,076.90 and 8,167.08

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Solution

The third proportional to 6,076.90 and 8,167.08 is: 10,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 8,167.08 = 8,167.08 : x
  2. Step 2: Convert to fraction form
    6,076.90/8,167.08 = 8,167.08/x
  3. Step 3: Cross multiply
    6,076.90x = 8,167.08 × 8,167.08
  4. Step 4: Simplify right side
    6,076.90x = 66,701,165.10
  5. Step 5: Solve for x
    x = 66,701,165.10/6,076.90
  6. Step 6: Final answer
    x = 10,976.19

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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.