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Finding the Third Proportional to 5,427.84 and 8,256.09

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Solution

The third proportional to 5,427.84 and 8,256.09 is: 12,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.84 : 8,256.09 = 8,256.09 : x
  2. Step 2: Convert to fraction form
    5,427.84/8,256.09 = 8,256.09/x
  3. Step 3: Cross multiply
    5,427.84x = 8,256.09 × 8,256.09
  4. Step 4: Simplify right side
    5,427.84x = 68,163,084.01
  5. Step 5: Solve for x
    x = 68,163,084.01/5,427.84
  6. Step 6: Final answer
    x = 12,558.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.