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Finding the Third Proportional to 18,963 and 27,409.50

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Solution

The third proportional to 18,963 and 27,409.50 is: 39,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963 : 27,409.50 = 27,409.50 : x
  2. Step 2: Convert to fraction form
    18,963/27,409.50 = 27,409.50/x
  3. Step 3: Cross multiply
    18,963x = 27,409.50 × 27,409.50
  4. Step 4: Simplify right side
    18,963x = 751,280,690.25
  5. Step 5: Solve for x
    x = 751,280,690.25/18,963
  6. Step 6: Final answer
    x = 39,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.