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Finding the Third Proportional to 14,715 and 22,105

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Solution

The third proportional to 14,715 and 22,105 is: 33,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715 : 22,105 = 22,105 : x
  2. Step 2: Convert to fraction form
    14,715/22,105 = 22,105/x
  3. Step 3: Cross multiply
    14,715x = 22,105 × 22,105
  4. Step 4: Simplify right side
    14,715x = 488,631,025
  5. Step 5: Solve for x
    x = 488,631,025/14,715
  6. Step 6: Final answer
    x = 33,206.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.