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Finding the Third Proportional to 9,368.81 and 19,951.41

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Solution

The third proportional to 9,368.81 and 19,951.41 is: 42,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.81 : 19,951.41 = 19,951.41 : x
  2. Step 2: Convert to fraction form
    9,368.81/19,951.41 = 19,951.41/x
  3. Step 3: Cross multiply
    9,368.81x = 19,951.41 × 19,951.41
  4. Step 4: Simplify right side
    9,368.81x = 398,058,611.35
  5. Step 5: Solve for x
    x = 398,058,611.35/9,368.81
  6. Step 6: Final answer
    x = 42,487.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.