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Finding the Third Proportional to 36,838 and 79,562

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Solution

The third proportional to 36,838 and 79,562 is: 171,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838 : 79,562 = 79,562 : x
  2. Step 2: Convert to fraction form
    36,838/79,562 = 79,562/x
  3. Step 3: Cross multiply
    36,838x = 79,562 × 79,562
  4. Step 4: Simplify right side
    36,838x = 6,330,111,844
  5. Step 5: Solve for x
    x = 6,330,111,844/36,838
  6. Step 6: Final answer
    x = 171,836.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.