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Finding the Third Proportional to 16,969.50 and 22,314.94

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Solution

The third proportional to 16,969.50 and 22,314.94 is: 29,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.50 : 22,314.94 = 22,314.94 : x
  2. Step 2: Convert to fraction form
    16,969.50/22,314.94 = 22,314.94/x
  3. Step 3: Cross multiply
    16,969.50x = 22,314.94 × 22,314.94
  4. Step 4: Simplify right side
    16,969.50x = 497,956,435.63
  5. Step 5: Solve for x
    x = 497,956,435.63/16,969.50
  6. Step 6: Final answer
    x = 29,344.20

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.