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Finding the Third Proportional to 17,389 and 37,910

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Solution

The third proportional to 17,389 and 37,910 is: 82,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389 : 37,910 = 37,910 : x
  2. Step 2: Convert to fraction form
    17,389/37,910 = 37,910/x
  3. Step 3: Cross multiply
    17,389x = 37,910 × 37,910
  4. Step 4: Simplify right side
    17,389x = 1,437,168,100
  5. Step 5: Solve for x
    x = 1,437,168,100/17,389
  6. Step 6: Final answer
    x = 82,648.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.