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Finding the Third Proportional to 4,757.91 and 6,853.36

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Solution

The third proportional to 4,757.91 and 6,853.36 is: 9,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.91 : 6,853.36 = 6,853.36 : x
  2. Step 2: Convert to fraction form
    4,757.91/6,853.36 = 6,853.36/x
  3. Step 3: Cross multiply
    4,757.91x = 6,853.36 × 6,853.36
  4. Step 4: Simplify right side
    4,757.91x = 46,968,534.72
  5. Step 5: Solve for x
    x = 46,968,534.72/4,757.91
  6. Step 6: Final answer
    x = 9,871.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.