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Finding the Third Proportional to 4,249.13 and 6,526.69

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Solution

The third proportional to 4,249.13 and 6,526.69 is: 10,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.13 : 6,526.69 = 6,526.69 : x
  2. Step 2: Convert to fraction form
    4,249.13/6,526.69 = 6,526.69/x
  3. Step 3: Cross multiply
    4,249.13x = 6,526.69 × 6,526.69
  4. Step 4: Simplify right side
    4,249.13x = 42,597,649.72
  5. Step 5: Solve for x
    x = 42,597,649.72/4,249.13
  6. Step 6: Final answer
    x = 10,025.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.