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Finding the Third Proportional to 36,726 and 79,558

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Solution

The third proportional to 36,726 and 79,558 is: 172,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,726 : 79,558 = 79,558 : x
  2. Step 2: Convert to fraction form
    36,726/79,558 = 79,558/x
  3. Step 3: Cross multiply
    36,726x = 79,558 × 79,558
  4. Step 4: Simplify right side
    36,726x = 6,329,475,364
  5. Step 5: Solve for x
    x = 6,329,475,364/36,726
  6. Step 6: Final answer
    x = 172,343.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.