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Finding the Third Proportional to 5,203.50 and 8,224.75

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Solution

The third proportional to 5,203.50 and 8,224.75 is: 13,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.50 : 8,224.75 = 8,224.75 : x
  2. Step 2: Convert to fraction form
    5,203.50/8,224.75 = 8,224.75/x
  3. Step 3: Cross multiply
    5,203.50x = 8,224.75 × 8,224.75
  4. Step 4: Simplify right side
    5,203.50x = 67,646,512.56
  5. Step 5: Solve for x
    x = 67,646,512.56/5,203.50
  6. Step 6: Final answer
    x = 13,000.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.