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Finding the Third Proportional to 36,064 and 77,328

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Solution

The third proportional to 36,064 and 77,328 is: 165,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064 : 77,328 = 77,328 : x
  2. Step 2: Convert to fraction form
    36,064/77,328 = 77,328/x
  3. Step 3: Cross multiply
    36,064x = 77,328 × 77,328
  4. Step 4: Simplify right side
    36,064x = 5,979,619,584
  5. Step 5: Solve for x
    x = 5,979,619,584/36,064
  6. Step 6: Final answer
    x = 165,805.78

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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.