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Finding the Third Proportional to 26,679 and 58,056

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Solution

The third proportional to 26,679 and 58,056 is: 126,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,679 : 58,056 = 58,056 : x
  2. Step 2: Convert to fraction form
    26,679/58,056 = 58,056/x
  3. Step 3: Cross multiply
    26,679x = 58,056 × 58,056
  4. Step 4: Simplify right side
    26,679x = 3,370,499,136
  5. Step 5: Solve for x
    x = 3,370,499,136/26,679
  6. Step 6: Final answer
    x = 126,335.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.