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Finding the Third Proportional to 27,012 and 58,056

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Solution

The third proportional to 27,012 and 58,056 is: 124,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012 : 58,056 = 58,056 : x
  2. Step 2: Convert to fraction form
    27,012/58,056 = 58,056/x
  3. Step 3: Cross multiply
    27,012x = 58,056 × 58,056
  4. Step 4: Simplify right side
    27,012x = 3,370,499,136
  5. Step 5: Solve for x
    x = 3,370,499,136/27,012
  6. Step 6: Final answer
    x = 124,777.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.