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Finding the Third Proportional to 10,550.25 and 16,706.25

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Solution

The third proportional to 10,550.25 and 16,706.25 is: 26,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.25 : 16,706.25 = 16,706.25 : x
  2. Step 2: Convert to fraction form
    10,550.25/16,706.25 = 16,706.25/x
  3. Step 3: Cross multiply
    10,550.25x = 16,706.25 × 16,706.25
  4. Step 4: Simplify right side
    10,550.25x = 279,098,789.06
  5. Step 5: Solve for x
    x = 279,098,789.06/10,550.25
  6. Step 6: Final answer
    x = 26,454.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.