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Finding the Third Proportional to 35,669 and 75,946

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Solution

The third proportional to 35,669 and 75,946 is: 161,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,669 : 75,946 = 75,946 : x
  2. Step 2: Convert to fraction form
    35,669/75,946 = 75,946/x
  3. Step 3: Cross multiply
    35,669x = 75,946 × 75,946
  4. Step 4: Simplify right side
    35,669x = 5,767,794,916
  5. Step 5: Solve for x
    x = 5,767,794,916/35,669
  6. Step 6: Final answer
    x = 161,703.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.