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Finding the Third Proportional to 17,264 and 36,988

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Solution

The third proportional to 17,264 and 36,988 is: 79,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264 : 36,988 = 36,988 : x
  2. Step 2: Convert to fraction form
    17,264/36,988 = 36,988/x
  3. Step 3: Cross multiply
    17,264x = 36,988 × 36,988
  4. Step 4: Simplify right side
    17,264x = 1,368,112,144
  5. Step 5: Solve for x
    x = 1,368,112,144/17,264
  6. Step 6: Final answer
    x = 79,246.53

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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.