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Finding the Third Proportional to 34,409.81 and 52,091.44

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Solution

The third proportional to 34,409.81 and 52,091.44 is: 78,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.81 : 52,091.44 = 52,091.44 : x
  2. Step 2: Convert to fraction form
    34,409.81/52,091.44 = 52,091.44/x
  3. Step 3: Cross multiply
    34,409.81x = 52,091.44 × 52,091.44
  4. Step 4: Simplify right side
    34,409.81x = 2,713,517,860.82
  5. Step 5: Solve for x
    x = 2,713,517,860.82/34,409.81
  6. Step 6: Final answer
    x = 78,858.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.