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Finding the Third Proportional to 24,109.50 and 36,021

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Solution

The third proportional to 24,109.50 and 36,021 is: 53,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.50 : 36,021 = 36,021 : x
  2. Step 2: Convert to fraction form
    24,109.50/36,021 = 36,021/x
  3. Step 3: Cross multiply
    24,109.50x = 36,021 × 36,021
  4. Step 4: Simplify right side
    24,109.50x = 1,297,512,441
  5. Step 5: Solve for x
    x = 1,297,512,441/24,109.50
  6. Step 6: Final answer
    x = 53,817.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.