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Finding the Third Proportional to 6,471.75 and 13,899.75

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Solution

The third proportional to 6,471.75 and 13,899.75 is: 29,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.75 : 13,899.75 = 13,899.75 : x
  2. Step 2: Convert to fraction form
    6,471.75/13,899.75 = 13,899.75/x
  3. Step 3: Cross multiply
    6,471.75x = 13,899.75 × 13,899.75
  4. Step 4: Simplify right side
    6,471.75x = 193,203,050.06
  5. Step 5: Solve for x
    x = 193,203,050.06/6,471.75
  6. Step 6: Final answer
    x = 29,853.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.