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Finding the Third Proportional to 35,373 and 76,458

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Solution

The third proportional to 35,373 and 76,458 is: 165,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,373 : 76,458 = 76,458 : x
  2. Step 2: Convert to fraction form
    35,373/76,458 = 76,458/x
  3. Step 3: Cross multiply
    35,373x = 76,458 × 76,458
  4. Step 4: Simplify right side
    35,373x = 5,845,825,764
  5. Step 5: Solve for x
    x = 5,845,825,764/35,373
  6. Step 6: Final answer
    x = 165,262.37

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