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Finding the Third Proportional to 17,606.25 and 22,855.50

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Solution

The third proportional to 17,606.25 and 22,855.50 is: 29,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.25 : 22,855.50 = 22,855.50 : x
  2. Step 2: Convert to fraction form
    17,606.25/22,855.50 = 22,855.50/x
  3. Step 3: Cross multiply
    17,606.25x = 22,855.50 × 22,855.50
  4. Step 4: Simplify right side
    17,606.25x = 522,373,880.25
  5. Step 5: Solve for x
    x = 522,373,880.25/17,606.25
  6. Step 6: Final answer
    x = 29,669.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.