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Finding the Third Proportional to 34,415.53 and 76,200.84

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Solution

The third proportional to 34,415.53 and 76,200.84 is: 168,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.53 : 76,200.84 = 76,200.84 : x
  2. Step 2: Convert to fraction form
    34,415.53/76,200.84 = 76,200.84/x
  3. Step 3: Cross multiply
    34,415.53x = 76,200.84 × 76,200.84
  4. Step 4: Simplify right side
    34,415.53x = 5,806,568,588.21
  5. Step 5: Solve for x
    x = 5,806,568,588.21/34,415.53
  6. Step 6: Final answer
    x = 168,719.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.