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Finding the Third Proportional to 36,492 and 75,717

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Solution

The third proportional to 36,492 and 75,717 is: 157,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492 : 75,717 = 75,717 : x
  2. Step 2: Convert to fraction form
    36,492/75,717 = 75,717/x
  3. Step 3: Cross multiply
    36,492x = 75,717 × 75,717
  4. Step 4: Simplify right side
    36,492x = 5,733,064,089
  5. Step 5: Solve for x
    x = 5,733,064,089/36,492
  6. Step 6: Final answer
    x = 157,104.68

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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.