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Finding the Third Proportional to 17,963 and 39,035

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Solution

The third proportional to 17,963 and 39,035 is: 84,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963 : 39,035 = 39,035 : x
  2. Step 2: Convert to fraction form
    17,963/39,035 = 39,035/x
  3. Step 3: Cross multiply
    17,963x = 39,035 × 39,035
  4. Step 4: Simplify right side
    17,963x = 1,523,731,225
  5. Step 5: Solve for x
    x = 1,523,731,225/17,963
  6. Step 6: Final answer
    x = 84,826.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.