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Finding the Third Proportional to 35,734 and 53,965

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Solution

The third proportional to 35,734 and 53,965 is: 81,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734 : 53,965 = 53,965 : x
  2. Step 2: Convert to fraction form
    35,734/53,965 = 53,965/x
  3. Step 3: Cross multiply
    35,734x = 53,965 × 53,965
  4. Step 4: Simplify right side
    35,734x = 2,912,221,225
  5. Step 5: Solve for x
    x = 2,912,221,225/35,734
  6. Step 6: Final answer
    x = 81,497.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.