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Finding the Third Proportional to 7,906.50 and 18,518.06

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Solution

The third proportional to 7,906.50 and 18,518.06 is: 43,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.50 : 18,518.06 = 18,518.06 : x
  2. Step 2: Convert to fraction form
    7,906.50/18,518.06 = 18,518.06/x
  3. Step 3: Cross multiply
    7,906.50x = 18,518.06 × 18,518.06
  4. Step 4: Simplify right side
    7,906.50x = 342,918,638.75
  5. Step 5: Solve for x
    x = 342,918,638.75/7,906.50
  6. Step 6: Final answer
    x = 43,371.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.