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Finding the Third Proportional to 3,271.22 and 7,153.31

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Solution

The third proportional to 3,271.22 and 7,153.31 is: 15,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.22 : 7,153.31 = 7,153.31 : x
  2. Step 2: Convert to fraction form
    3,271.22/7,153.31 = 7,153.31/x
  3. Step 3: Cross multiply
    3,271.22x = 7,153.31 × 7,153.31
  4. Step 4: Simplify right side
    3,271.22x = 51,169,879.72
  5. Step 5: Solve for x
    x = 51,169,879.72/3,271.22
  6. Step 6: Final answer
    x = 15,642.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.