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Finding the Third Proportional to 35,643 and 76,935

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Solution

The third proportional to 35,643 and 76,935 is: 166,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643 : 76,935 = 76,935 : x
  2. Step 2: Convert to fraction form
    35,643/76,935 = 76,935/x
  3. Step 3: Cross multiply
    35,643x = 76,935 × 76,935
  4. Step 4: Simplify right side
    35,643x = 5,918,994,225
  5. Step 5: Solve for x
    x = 5,918,994,225/35,643
  6. Step 6: Final answer
    x = 166,063.30

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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.