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Finding the Third Proportional to 5,492.25 and 8,757.25

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Solution

The third proportional to 5,492.25 and 8,757.25 is: 13,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.25 : 8,757.25 = 8,757.25 : x
  2. Step 2: Convert to fraction form
    5,492.25/8,757.25 = 8,757.25/x
  3. Step 3: Cross multiply
    5,492.25x = 8,757.25 × 8,757.25
  4. Step 4: Simplify right side
    5,492.25x = 76,689,427.56
  5. Step 5: Solve for x
    x = 76,689,427.56/5,492.25
  6. Step 6: Final answer
    x = 13,963.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.