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Finding the Third Proportional to 35,262 and 76,955

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Solution

The third proportional to 35,262 and 76,955 is: 167,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262 : 76,955 = 76,955 : x
  2. Step 2: Convert to fraction form
    35,262/76,955 = 76,955/x
  3. Step 3: Cross multiply
    35,262x = 76,955 × 76,955
  4. Step 4: Simplify right side
    35,262x = 5,922,072,025
  5. Step 5: Solve for x
    x = 5,922,072,025/35,262
  6. Step 6: Final answer
    x = 167,944.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.