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Finding the Third Proportional to 7,764.61 and 12,104.44

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Solution

The third proportional to 7,764.61 and 12,104.44 is: 18,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.61 : 12,104.44 = 12,104.44 : x
  2. Step 2: Convert to fraction form
    7,764.61/12,104.44 = 12,104.44/x
  3. Step 3: Cross multiply
    7,764.61x = 12,104.44 × 12,104.44
  4. Step 4: Simplify right side
    7,764.61x = 146,517,407.19
  5. Step 5: Solve for x
    x = 146,517,407.19/7,764.61
  6. Step 6: Final answer
    x = 18,869.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.