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Finding the Third Proportional to 3,126.09 and 5,061.23

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Solution

The third proportional to 3,126.09 and 5,061.23 is: 8,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.09 : 5,061.23 = 5,061.23 : x
  2. Step 2: Convert to fraction form
    3,126.09/5,061.23 = 5,061.23/x
  3. Step 3: Cross multiply
    3,126.09x = 5,061.23 × 5,061.23
  4. Step 4: Simplify right side
    3,126.09x = 25,616,093.40
  5. Step 5: Solve for x
    x = 25,616,093.40/3,126.09
  6. Step 6: Final answer
    x = 8,194.28

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.