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Finding the Third Proportional to 5,776.69 and 8,254.88

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Solution

The third proportional to 5,776.69 and 8,254.88 is: 11,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.69 : 8,254.88 = 8,254.88 : x
  2. Step 2: Convert to fraction form
    5,776.69/8,254.88 = 8,254.88/x
  3. Step 3: Cross multiply
    5,776.69x = 8,254.88 × 8,254.88
  4. Step 4: Simplify right side
    5,776.69x = 68,142,961.27
  5. Step 5: Solve for x
    x = 68,142,961.27/5,776.69
  6. Step 6: Final answer
    x = 11,796.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.