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Finding the Third Proportional to 35,213 and 76,957

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Solution

The third proportional to 35,213 and 76,957 is: 168,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213 : 76,957 = 76,957 : x
  2. Step 2: Convert to fraction form
    35,213/76,957 = 76,957/x
  3. Step 3: Cross multiply
    35,213x = 76,957 × 76,957
  4. Step 4: Simplify right side
    35,213x = 5,922,379,849
  5. Step 5: Solve for x
    x = 5,922,379,849/35,213
  6. Step 6: Final answer
    x = 168,187.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.