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Finding the Third Proportional to 3,847.50 and 6,513.75

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Solution

The third proportional to 3,847.50 and 6,513.75 is: 11,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.50 : 6,513.75 = 6,513.75 : x
  2. Step 2: Convert to fraction form
    3,847.50/6,513.75 = 6,513.75/x
  3. Step 3: Cross multiply
    3,847.50x = 6,513.75 × 6,513.75
  4. Step 4: Simplify right side
    3,847.50x = 42,428,939.06
  5. Step 5: Solve for x
    x = 42,428,939.06/3,847.50
  6. Step 6: Final answer
    x = 11,027.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.