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Finding the Third Proportional to 6,670.69 and 12,268.13

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Solution

The third proportional to 6,670.69 and 12,268.13 is: 22,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.69 : 12,268.13 = 12,268.13 : x
  2. Step 2: Convert to fraction form
    6,670.69/12,268.13 = 12,268.13/x
  3. Step 3: Cross multiply
    6,670.69x = 12,268.13 × 12,268.13
  4. Step 4: Simplify right side
    6,670.69x = 150,506,891.02
  5. Step 5: Solve for x
    x = 150,506,891.02/6,670.69
  6. Step 6: Final answer
    x = 22,562.43

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.