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Finding the Third Proportional to 3,624.47 and 7,723.69

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Solution

The third proportional to 3,624.47 and 7,723.69 is: 16,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.47 : 7,723.69 = 7,723.69 : x
  2. Step 2: Convert to fraction form
    3,624.47/7,723.69 = 7,723.69/x
  3. Step 3: Cross multiply
    3,624.47x = 7,723.69 × 7,723.69
  4. Step 4: Simplify right side
    3,624.47x = 59,655,348.60
  5. Step 5: Solve for x
    x = 59,655,348.60/3,624.47
  6. Step 6: Final answer
    x = 16,459.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.