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Finding the Third Proportional to 36,947 and 79,145

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Solution

The third proportional to 36,947 and 79,145 is: 169,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947 : 79,145 = 79,145 : x
  2. Step 2: Convert to fraction form
    36,947/79,145 = 79,145/x
  3. Step 3: Cross multiply
    36,947x = 79,145 × 79,145
  4. Step 4: Simplify right side
    36,947x = 6,263,931,025
  5. Step 5: Solve for x
    x = 6,263,931,025/36,947
  6. Step 6: Final answer
    x = 169,538.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.