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Finding the Third Proportional to 12,833.44 and 30,466.13

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Solution

The third proportional to 12,833.44 and 30,466.13 is: 72,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.44 : 30,466.13 = 30,466.13 : x
  2. Step 2: Convert to fraction form
    12,833.44/30,466.13 = 30,466.13/x
  3. Step 3: Cross multiply
    12,833.44x = 30,466.13 × 30,466.13
  4. Step 4: Simplify right side
    12,833.44x = 928,184,772.52
  5. Step 5: Solve for x
    x = 928,184,772.52/12,833.44
  6. Step 6: Final answer
    x = 72,325.50

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.