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Finding the Third Proportional to 16,537.50 and 39,031

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Solution

The third proportional to 16,537.50 and 39,031 is: 92,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.50 : 39,031 = 39,031 : x
  2. Step 2: Convert to fraction form
    16,537.50/39,031 = 39,031/x
  3. Step 3: Cross multiply
    16,537.50x = 39,031 × 39,031
  4. Step 4: Simplify right side
    16,537.50x = 1,523,418,961
  5. Step 5: Solve for x
    x = 1,523,418,961/16,537.50
  6. Step 6: Final answer
    x = 92,119.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.