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Finding the Third Proportional to 35,902 and 73,596

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Solution

The third proportional to 35,902 and 73,596 is: 150,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902 : 73,596 = 73,596 : x
  2. Step 2: Convert to fraction form
    35,902/73,596 = 73,596/x
  3. Step 3: Cross multiply
    35,902x = 73,596 × 73,596
  4. Step 4: Simplify right side
    35,902x = 5,416,371,216
  5. Step 5: Solve for x
    x = 5,416,371,216/35,902
  6. Step 6: Final answer
    x = 150,865.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.