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Finding the Third Proportional to 34,024 and 73,525

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Solution

The third proportional to 34,024 and 73,525 is: 158,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024 : 73,525 = 73,525 : x
  2. Step 2: Convert to fraction form
    34,024/73,525 = 73,525/x
  3. Step 3: Cross multiply
    34,024x = 73,525 × 73,525
  4. Step 4: Simplify right side
    34,024x = 5,405,925,625
  5. Step 5: Solve for x
    x = 5,405,925,625/34,024
  6. Step 6: Final answer
    x = 158,885.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.