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Finding the Third Proportional to 17,288 and 37,036

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Solution

The third proportional to 17,288 and 37,036 is: 79,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288 : 37,036 = 37,036 : x
  2. Step 2: Convert to fraction form
    17,288/37,036 = 37,036/x
  3. Step 3: Cross multiply
    17,288x = 37,036 × 37,036
  4. Step 4: Simplify right side
    17,288x = 1,371,665,296
  5. Step 5: Solve for x
    x = 1,371,665,296/17,288
  6. Step 6: Final answer
    x = 79,342.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.