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Finding the Third Proportional to 4,723.69 and 10,297.78

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Solution

The third proportional to 4,723.69 and 10,297.78 is: 22,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.69 : 10,297.78 = 10,297.78 : x
  2. Step 2: Convert to fraction form
    4,723.69/10,297.78 = 10,297.78/x
  3. Step 3: Cross multiply
    4,723.69x = 10,297.78 × 10,297.78
  4. Step 4: Simplify right side
    4,723.69x = 106,044,298.67
  5. Step 5: Solve for x
    x = 106,044,298.67/4,723.69
  6. Step 6: Final answer
    x = 22,449.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.