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Finding the Third Proportional to 35,350 and 76,235

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Solution

The third proportional to 35,350 and 76,235 is: 164,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,350 : 76,235 = 76,235 : x
  2. Step 2: Convert to fraction form
    35,350/76,235 = 76,235/x
  3. Step 3: Cross multiply
    35,350x = 76,235 × 76,235
  4. Step 4: Simplify right side
    35,350x = 5,811,775,225
  5. Step 5: Solve for x
    x = 5,811,775,225/35,350
  6. Step 6: Final answer
    x = 164,406.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.