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Finding the Third Proportional to 35,973 and 77,232

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Solution

The third proportional to 35,973 and 77,232 is: 165,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973 : 77,232 = 77,232 : x
  2. Step 2: Convert to fraction form
    35,973/77,232 = 77,232/x
  3. Step 3: Cross multiply
    35,973x = 77,232 × 77,232
  4. Step 4: Simplify right side
    35,973x = 5,964,781,824
  5. Step 5: Solve for x
    x = 5,964,781,824/35,973
  6. Step 6: Final answer
    x = 165,812.74

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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.