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Finding the Third Proportional to 37,971 and 60,347

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Solution

The third proportional to 37,971 and 60,347 is: 95,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971 : 60,347 = 60,347 : x
  2. Step 2: Convert to fraction form
    37,971/60,347 = 60,347/x
  3. Step 3: Cross multiply
    37,971x = 60,347 × 60,347
  4. Step 4: Simplify right side
    37,971x = 3,641,760,409
  5. Step 5: Solve for x
    x = 3,641,760,409/37,971
  6. Step 6: Final answer
    x = 95,908.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.