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Finding the Third Proportional to 17,365 and 36,910

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Solution

The third proportional to 17,365 and 36,910 is: 78,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365 : 36,910 = 36,910 : x
  2. Step 2: Convert to fraction form
    17,365/36,910 = 36,910/x
  3. Step 3: Cross multiply
    17,365x = 36,910 × 36,910
  4. Step 4: Simplify right side
    17,365x = 1,362,348,100
  5. Step 5: Solve for x
    x = 1,362,348,100/17,365
  6. Step 6: Final answer
    x = 78,453.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.