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Finding the Third Proportional to 16,212.34 and 35,500.16

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Solution

The third proportional to 16,212.34 and 35,500.16 is: 77,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.34 : 35,500.16 = 35,500.16 : x
  2. Step 2: Convert to fraction form
    16,212.34/35,500.16 = 35,500.16/x
  3. Step 3: Cross multiply
    16,212.34x = 35,500.16 × 35,500.16
  4. Step 4: Simplify right side
    16,212.34x = 1,260,261,093.77
  5. Step 5: Solve for x
    x = 1,260,261,093.77/16,212.34
  6. Step 6: Final answer
    x = 77,734.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.