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Finding the Third Proportional to 5,963.63 and 8,346.80

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Solution

The third proportional to 5,963.63 and 8,346.80 is: 11,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.63 : 8,346.80 = 8,346.80 : x
  2. Step 2: Convert to fraction form
    5,963.63/8,346.80 = 8,346.80/x
  3. Step 3: Cross multiply
    5,963.63x = 8,346.80 × 8,346.80
  4. Step 4: Simplify right side
    5,963.63x = 69,669,018.07
  5. Step 5: Solve for x
    x = 69,669,018.07/5,963.63
  6. Step 6: Final answer
    x = 11,682.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.