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Finding the Third Proportional to 7,906.52 and 12,237.80

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Solution

The third proportional to 7,906.52 and 12,237.80 is: 18,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.52 : 12,237.80 = 12,237.80 : x
  2. Step 2: Convert to fraction form
    7,906.52/12,237.80 = 12,237.80/x
  3. Step 3: Cross multiply
    7,906.52x = 12,237.80 × 12,237.80
  4. Step 4: Simplify right side
    7,906.52x = 149,763,815.77
  5. Step 5: Solve for x
    x = 149,763,815.77/7,906.52
  6. Step 6: Final answer
    x = 18,941.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.