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Finding the Third Proportional to 19,914.50 and 27,062

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Solution

The third proportional to 19,914.50 and 27,062 is: 36,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.50 : 27,062 = 27,062 : x
  2. Step 2: Convert to fraction form
    19,914.50/27,062 = 27,062/x
  3. Step 3: Cross multiply
    19,914.50x = 27,062 × 27,062
  4. Step 4: Simplify right side
    19,914.50x = 732,351,844
  5. Step 5: Solve for x
    x = 732,351,844/19,914.50
  6. Step 6: Final answer
    x = 36,774.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.