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Finding the Third Proportional to 17,100.50 and 37,337

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Solution

The third proportional to 17,100.50 and 37,337 is: 81,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.50 : 37,337 = 37,337 : x
  2. Step 2: Convert to fraction form
    17,100.50/37,337 = 37,337/x
  3. Step 3: Cross multiply
    17,100.50x = 37,337 × 37,337
  4. Step 4: Simplify right side
    17,100.50x = 1,394,051,569
  5. Step 5: Solve for x
    x = 1,394,051,569/17,100.50
  6. Step 6: Final answer
    x = 81,521.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.