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Finding the Third Proportional to 35,683 and 73,525

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Solution

The third proportional to 35,683 and 73,525 is: 151,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683 : 73,525 = 73,525 : x
  2. Step 2: Convert to fraction form
    35,683/73,525 = 73,525/x
  3. Step 3: Cross multiply
    35,683x = 73,525 × 73,525
  4. Step 4: Simplify right side
    35,683x = 5,405,925,625
  5. Step 5: Solve for x
    x = 5,405,925,625/35,683
  6. Step 6: Final answer
    x = 151,498.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.