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Finding the Third Proportional to 5,244.19 and 8,185.31

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Solution

The third proportional to 5,244.19 and 8,185.31 is: 12,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.19 : 8,185.31 = 8,185.31 : x
  2. Step 2: Convert to fraction form
    5,244.19/8,185.31 = 8,185.31/x
  3. Step 3: Cross multiply
    5,244.19x = 8,185.31 × 8,185.31
  4. Step 4: Simplify right side
    5,244.19x = 66,999,340.72
  5. Step 5: Solve for x
    x = 66,999,340.72/5,244.19
  6. Step 6: Final answer
    x = 12,775.92

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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.