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Finding the Third Proportional to 27,786 and 58,836

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Solution

The third proportional to 27,786 and 58,836 is: 124,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 58,836 = 58,836 : x
  2. Step 2: Convert to fraction form
    27,786/58,836 = 58,836/x
  3. Step 3: Cross multiply
    27,786x = 58,836 × 58,836
  4. Step 4: Simplify right side
    27,786x = 3,461,674,896
  5. Step 5: Solve for x
    x = 3,461,674,896/27,786
  6. Step 6: Final answer
    x = 124,583.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.