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Finding the Third Proportional to 27,412 and 56,768

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Solution

The third proportional to 27,412 and 56,768 is: 117,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412 : 56,768 = 56,768 : x
  2. Step 2: Convert to fraction form
    27,412/56,768 = 56,768/x
  3. Step 3: Cross multiply
    27,412x = 56,768 × 56,768
  4. Step 4: Simplify right side
    27,412x = 3,222,605,824
  5. Step 5: Solve for x
    x = 3,222,605,824/27,412
  6. Step 6: Final answer
    x = 117,561.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.