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Finding the Third Proportional to 16,909.50 and 36,165

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Solution

The third proportional to 16,909.50 and 36,165 is: 77,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.50 : 36,165 = 36,165 : x
  2. Step 2: Convert to fraction form
    16,909.50/36,165 = 36,165/x
  3. Step 3: Cross multiply
    16,909.50x = 36,165 × 36,165
  4. Step 4: Simplify right side
    16,909.50x = 1,307,907,225
  5. Step 5: Solve for x
    x = 1,307,907,225/16,909.50
  6. Step 6: Final answer
    x = 77,347.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.