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Finding the Third Proportional to 7,649.44 and 18,014.91

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Solution

The third proportional to 7,649.44 and 18,014.91 is: 42,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.44 : 18,014.91 = 18,014.91 : x
  2. Step 2: Convert to fraction form
    7,649.44/18,014.91 = 18,014.91/x
  3. Step 3: Cross multiply
    7,649.44x = 18,014.91 × 18,014.91
  4. Step 4: Simplify right side
    7,649.44x = 324,536,847.20
  5. Step 5: Solve for x
    x = 324,536,847.20/7,649.44
  6. Step 6: Final answer
    x = 42,426.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.