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Finding the Third Proportional to 5,724.84 and 12,064.69

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Solution

The third proportional to 5,724.84 and 12,064.69 is: 25,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.84 : 12,064.69 = 12,064.69 : x
  2. Step 2: Convert to fraction form
    5,724.84/12,064.69 = 12,064.69/x
  3. Step 3: Cross multiply
    5,724.84x = 12,064.69 × 12,064.69
  4. Step 4: Simplify right side
    5,724.84x = 145,556,684.47
  5. Step 5: Solve for x
    x = 145,556,684.47/5,724.84
  6. Step 6: Final answer
    x = 25,425.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.