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Finding the Third Proportional to 6,199.50 and 14,232.75

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Solution

The third proportional to 6,199.50 and 14,232.75 is: 32,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.50 : 14,232.75 = 14,232.75 : x
  2. Step 2: Convert to fraction form
    6,199.50/14,232.75 = 14,232.75/x
  3. Step 3: Cross multiply
    6,199.50x = 14,232.75 × 14,232.75
  4. Step 4: Simplify right side
    6,199.50x = 202,571,172.56
  5. Step 5: Solve for x
    x = 202,571,172.56/6,199.50
  6. Step 6: Final answer
    x = 32,675.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.