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Finding the Third Proportional to 18,564.19 and 43,778.81

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Solution

The third proportional to 18,564.19 and 43,778.81 is: 103,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.19 : 43,778.81 = 43,778.81 : x
  2. Step 2: Convert to fraction form
    18,564.19/43,778.81 = 43,778.81/x
  3. Step 3: Cross multiply
    18,564.19x = 43,778.81 × 43,778.81
  4. Step 4: Simplify right side
    18,564.19x = 1,916,584,423.91
  5. Step 5: Solve for x
    x = 1,916,584,423.91/18,564.19
  6. Step 6: Final answer
    x = 103,240.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.