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Finding the Third Proportional to 35,122.50 and 76,077

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Solution

The third proportional to 35,122.50 and 76,077 is: 164,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122.50 : 76,077 = 76,077 : x
  2. Step 2: Convert to fraction form
    35,122.50/76,077 = 76,077/x
  3. Step 3: Cross multiply
    35,122.50x = 76,077 × 76,077
  4. Step 4: Simplify right side
    35,122.50x = 5,787,709,929
  5. Step 5: Solve for x
    x = 5,787,709,929/35,122.50
  6. Step 6: Final answer
    x = 164,786.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.