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Finding the Third Proportional to 35,595 and 72,213.75

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Solution

The third proportional to 35,595 and 72,213.75 is: 146,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,595 : 72,213.75 = 72,213.75 : x
  2. Step 2: Convert to fraction form
    35,595/72,213.75 = 72,213.75/x
  3. Step 3: Cross multiply
    35,595x = 72,213.75 × 72,213.75
  4. Step 4: Simplify right side
    35,595x = 5,214,825,689.06
  5. Step 5: Solve for x
    x = 5,214,825,689.06/35,595
  6. Step 6: Final answer
    x = 146,504.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.