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Finding the Third Proportional to 4,867.59 and 10,612.27

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Solution

The third proportional to 4,867.59 and 10,612.27 is: 23,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.59 : 10,612.27 = 10,612.27 : x
  2. Step 2: Convert to fraction form
    4,867.59/10,612.27 = 10,612.27/x
  3. Step 3: Cross multiply
    4,867.59x = 10,612.27 × 10,612.27
  4. Step 4: Simplify right side
    4,867.59x = 112,620,181.70
  5. Step 5: Solve for x
    x = 112,620,181.70/4,867.59
  6. Step 6: Final answer
    x = 23,136.73

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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.