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Finding the Third Proportional to 4,199.06 and 6,382.13

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Solution

The third proportional to 4,199.06 and 6,382.13 is: 9,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.06 : 6,382.13 = 6,382.13 : x
  2. Step 2: Convert to fraction form
    4,199.06/6,382.13 = 6,382.13/x
  3. Step 3: Cross multiply
    4,199.06x = 6,382.13 × 6,382.13
  4. Step 4: Simplify right side
    4,199.06x = 40,731,519.52
  5. Step 5: Solve for x
    x = 40,731,519.52/4,199.06
  6. Step 6: Final answer
    x = 9,700.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.