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Finding the Third Proportional to 5,767.88 and 8,989.31

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Solution

The third proportional to 5,767.88 and 8,989.31 is: 14,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.88 : 8,989.31 = 8,989.31 : x
  2. Step 2: Convert to fraction form
    5,767.88/8,989.31 = 8,989.31/x
  3. Step 3: Cross multiply
    5,767.88x = 8,989.31 × 8,989.31
  4. Step 4: Simplify right side
    5,767.88x = 80,807,739.22
  5. Step 5: Solve for x
    x = 80,807,739.22/5,767.88
  6. Step 6: Final answer
    x = 14,009.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.