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Finding the Third Proportional to 5,630.25 and 8,757.25

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Solution

The third proportional to 5,630.25 and 8,757.25 is: 13,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.25 : 8,757.25 = 8,757.25 : x
  2. Step 2: Convert to fraction form
    5,630.25/8,757.25 = 8,757.25/x
  3. Step 3: Cross multiply
    5,630.25x = 8,757.25 × 8,757.25
  4. Step 4: Simplify right side
    5,630.25x = 76,689,427.56
  5. Step 5: Solve for x
    x = 76,689,427.56/5,630.25
  6. Step 6: Final answer
    x = 13,620.96

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1.5x scale

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.