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Finding the Third Proportional to 9,020.25 and 12,696.75

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Solution

The third proportional to 9,020.25 and 12,696.75 is: 17,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.25 : 12,696.75 = 12,696.75 : x
  2. Step 2: Convert to fraction form
    9,020.25/12,696.75 = 12,696.75/x
  3. Step 3: Cross multiply
    9,020.25x = 12,696.75 × 12,696.75
  4. Step 4: Simplify right side
    9,020.25x = 161,207,460.56
  5. Step 5: Solve for x
    x = 161,207,460.56/9,020.25
  6. Step 6: Final answer
    x = 17,871.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.