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Finding the Third Proportional to 6,025.64 and 7,996.22

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Solution

The third proportional to 6,025.64 and 7,996.22 is: 10,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.64 : 7,996.22 = 7,996.22 : x
  2. Step 2: Convert to fraction form
    6,025.64/7,996.22 = 7,996.22/x
  3. Step 3: Cross multiply
    6,025.64x = 7,996.22 × 7,996.22
  4. Step 4: Simplify right side
    6,025.64x = 63,939,514.30
  5. Step 5: Solve for x
    x = 63,939,514.30/6,025.64
  6. Step 6: Final answer
    x = 10,611.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.