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Finding the Third Proportional to 35,019 and 50,340.38

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Solution

The third proportional to 35,019 and 50,340.38 is: 72,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,019 : 50,340.38 = 50,340.38 : x
  2. Step 2: Convert to fraction form
    35,019/50,340.38 = 50,340.38/x
  3. Step 3: Cross multiply
    35,019x = 50,340.38 × 50,340.38
  4. Step 4: Simplify right side
    35,019x = 2,534,153,355.14
  5. Step 5: Solve for x
    x = 2,534,153,355.14/35,019
  6. Step 6: Final answer
    x = 72,365.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.