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Finding the Third Proportional to 36,417 and 77,232

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Solution

The third proportional to 36,417 and 77,232 is: 163,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417 : 77,232 = 77,232 : x
  2. Step 2: Convert to fraction form
    36,417/77,232 = 77,232/x
  3. Step 3: Cross multiply
    36,417x = 77,232 × 77,232
  4. Step 4: Simplify right side
    36,417x = 5,964,781,824
  5. Step 5: Solve for x
    x = 5,964,781,824/36,417
  6. Step 6: Final answer
    x = 163,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.