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Finding the Third Proportional to 5,506.31 and 8,529.47

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Solution

The third proportional to 5,506.31 and 8,529.47 is: 13,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.31 : 8,529.47 = 8,529.47 : x
  2. Step 2: Convert to fraction form
    5,506.31/8,529.47 = 8,529.47/x
  3. Step 3: Cross multiply
    5,506.31x = 8,529.47 × 8,529.47
  4. Step 4: Simplify right side
    5,506.31x = 72,751,837.16
  5. Step 5: Solve for x
    x = 72,751,837.16/5,506.31
  6. Step 6: Final answer
    x = 13,212.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.