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Finding the Third Proportional to 8,077.22 and 12,475.27

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Solution

The third proportional to 8,077.22 and 12,475.27 is: 19,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.22 : 12,475.27 = 12,475.27 : x
  2. Step 2: Convert to fraction form
    8,077.22/12,475.27 = 12,475.27/x
  3. Step 3: Cross multiply
    8,077.22x = 12,475.27 × 12,475.27
  4. Step 4: Simplify right side
    8,077.22x = 155,632,252.41
  5. Step 5: Solve for x
    x = 155,632,252.41/8,077.22
  6. Step 6: Final answer
    x = 19,268.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.