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Finding the Third Proportional to 36,946 and 76,520

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Solution

The third proportional to 36,946 and 76,520 is: 158,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 76,520 = 76,520 : x
  2. Step 2: Convert to fraction form
    36,946/76,520 = 76,520/x
  3. Step 3: Cross multiply
    36,946x = 76,520 × 76,520
  4. Step 4: Simplify right side
    36,946x = 5,855,310,400
  5. Step 5: Solve for x
    x = 5,855,310,400/36,946
  6. Step 6: Final answer
    x = 158,482.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.