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Finding the Third Proportional to 35,035 and 50,365

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Solution

The third proportional to 35,035 and 50,365 is: 72,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,035 : 50,365 = 50,365 : x
  2. Step 2: Convert to fraction form
    35,035/50,365 = 50,365/x
  3. Step 3: Cross multiply
    35,035x = 50,365 × 50,365
  4. Step 4: Simplify right side
    35,035x = 2,536,633,225
  5. Step 5: Solve for x
    x = 2,536,633,225/35,035
  6. Step 6: Final answer
    x = 72,402.83

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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.