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Finding the Third Proportional to 18,963 and 40,833

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Solution

The third proportional to 18,963 and 40,833 is: 87,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963 : 40,833 = 40,833 : x
  2. Step 2: Convert to fraction form
    18,963/40,833 = 40,833/x
  3. Step 3: Cross multiply
    18,963x = 40,833 × 40,833
  4. Step 4: Simplify right side
    18,963x = 1,667,333,889
  5. Step 5: Solve for x
    x = 1,667,333,889/18,963
  6. Step 6: Final answer
    x = 87,925.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.