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Finding the Third Proportional to 17,935 and 36,598

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Solution

The third proportional to 17,935 and 36,598 is: 74,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935 : 36,598 = 36,598 : x
  2. Step 2: Convert to fraction form
    17,935/36,598 = 36,598/x
  3. Step 3: Cross multiply
    17,935x = 36,598 × 36,598
  4. Step 4: Simplify right side
    17,935x = 1,339,413,604
  5. Step 5: Solve for x
    x = 1,339,413,604/17,935
  6. Step 6: Final answer
    x = 74,681.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.