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Finding the Third Proportional to 27,808 and 56,896

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Solution

The third proportional to 27,808 and 56,896 is: 116,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 56,896 = 56,896 : x
  2. Step 2: Convert to fraction form
    27,808/56,896 = 56,896/x
  3. Step 3: Cross multiply
    27,808x = 56,896 × 56,896
  4. Step 4: Simplify right side
    27,808x = 3,237,154,816
  5. Step 5: Solve for x
    x = 3,237,154,816/27,808
  6. Step 6: Final answer
    x = 116,410.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.