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Finding the Third Proportional to 36,627 and 70,336

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Solution

The third proportional to 36,627 and 70,336 is: 135,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,627 : 70,336 = 70,336 : x
  2. Step 2: Convert to fraction form
    36,627/70,336 = 70,336/x
  3. Step 3: Cross multiply
    36,627x = 70,336 × 70,336
  4. Step 4: Simplify right side
    36,627x = 4,947,152,896
  5. Step 5: Solve for x
    x = 4,947,152,896/36,627
  6. Step 6: Final answer
    x = 135,068.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.