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Finding the Third Proportional to 17,535 and 37,893

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Solution

The third proportional to 17,535 and 37,893 is: 81,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535 : 37,893 = 37,893 : x
  2. Step 2: Convert to fraction form
    17,535/37,893 = 37,893/x
  3. Step 3: Cross multiply
    17,535x = 37,893 × 37,893
  4. Step 4: Simplify right side
    17,535x = 1,435,879,449
  5. Step 5: Solve for x
    x = 1,435,879,449/17,535
  6. Step 6: Final answer
    x = 81,886.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.