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Finding the Third Proportional to 36,546 and 78,732

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Solution

The third proportional to 36,546 and 78,732 is: 169,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 78,732 = 78,732 : x
  2. Step 2: Convert to fraction form
    36,546/78,732 = 78,732/x
  3. Step 3: Cross multiply
    36,546x = 78,732 × 78,732
  4. Step 4: Simplify right side
    36,546x = 6,198,727,824
  5. Step 5: Solve for x
    x = 6,198,727,824/36,546
  6. Step 6: Final answer
    x = 169,614.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.