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Finding the Third Proportional to 4,536.56 and 6,832.13

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Solution

The third proportional to 4,536.56 and 6,832.13 is: 10,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.56 : 6,832.13 = 6,832.13 : x
  2. Step 2: Convert to fraction form
    4,536.56/6,832.13 = 6,832.13/x
  3. Step 3: Cross multiply
    4,536.56x = 6,832.13 × 6,832.13
  4. Step 4: Simplify right side
    4,536.56x = 46,677,932.02
  5. Step 5: Solve for x
    x = 46,677,932.02/4,536.56
  6. Step 6: Final answer
    x = 10,289.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.