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Finding the Third Proportional to 6,076.90 and 8,634.09

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Solution

The third proportional to 6,076.90 and 8,634.09 is: 12,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 8,634.09 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    6,076.90/8,634.09 = 8,634.09/x
  3. Step 3: Cross multiply
    6,076.90x = 8,634.09 × 8,634.09
  4. Step 4: Simplify right side
    6,076.90x = 74,547,574.88
  5. Step 5: Solve for x
    x = 74,547,574.88/6,076.90
  6. Step 6: Final answer
    x = 12,267.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.