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Finding the Third Proportional to 17,320.50 and 23,511.94

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Solution

The third proportional to 17,320.50 and 23,511.94 is: 31,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.50 : 23,511.94 = 23,511.94 : x
  2. Step 2: Convert to fraction form
    17,320.50/23,511.94 = 23,511.94/x
  3. Step 3: Cross multiply
    17,320.50x = 23,511.94 × 23,511.94
  4. Step 4: Simplify right side
    17,320.50x = 552,811,205.00
  5. Step 5: Solve for x
    x = 552,811,205.00/17,320.50
  6. Step 6: Final answer
    x = 31,916.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.