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Finding the Third Proportional to 12,995.44 and 19,766.81

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Solution

The third proportional to 12,995.44 and 19,766.81 is: 30,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.44 : 19,766.81 = 19,766.81 : x
  2. Step 2: Convert to fraction form
    12,995.44/19,766.81 = 19,766.81/x
  3. Step 3: Cross multiply
    12,995.44x = 19,766.81 × 19,766.81
  4. Step 4: Simplify right side
    12,995.44x = 390,726,876.41
  5. Step 5: Solve for x
    x = 390,726,876.41/12,995.44
  6. Step 6: Final answer
    x = 30,066.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.