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Finding the Third Proportional to 34,741.50 and 81,957

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Solution

The third proportional to 34,741.50 and 81,957 is: 193,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.50 : 81,957 = 81,957 : x
  2. Step 2: Convert to fraction form
    34,741.50/81,957 = 81,957/x
  3. Step 3: Cross multiply
    34,741.50x = 81,957 × 81,957
  4. Step 4: Simplify right side
    34,741.50x = 6,716,949,849
  5. Step 5: Solve for x
    x = 6,716,949,849/34,741.50
  6. Step 6: Final answer
    x = 193,340.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.