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Finding the Third Proportional to 19,365 and 27,269.75

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Solution

The third proportional to 19,365 and 27,269.75 is: 38,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,365 : 27,269.75 = 27,269.75 : x
  2. Step 2: Convert to fraction form
    19,365/27,269.75 = 27,269.75/x
  3. Step 3: Cross multiply
    19,365x = 27,269.75 × 27,269.75
  4. Step 4: Simplify right side
    19,365x = 743,639,265.06
  5. Step 5: Solve for x
    x = 743,639,265.06/19,365
  6. Step 6: Final answer
    x = 38,401.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.