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Finding the Third Proportional to 17,281 and 37,019

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Solution

The third proportional to 17,281 and 37,019 is: 79,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281 : 37,019 = 37,019 : x
  2. Step 2: Convert to fraction form
    17,281/37,019 = 37,019/x
  3. Step 3: Cross multiply
    17,281x = 37,019 × 37,019
  4. Step 4: Simplify right side
    17,281x = 1,370,406,361
  5. Step 5: Solve for x
    x = 1,370,406,361/17,281
  6. Step 6: Final answer
    x = 79,301.33

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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.