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Finding the Third Proportional to 27,265 and 57,827

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Solution

The third proportional to 27,265 and 57,827 is: 122,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265 : 57,827 = 57,827 : x
  2. Step 2: Convert to fraction form
    27,265/57,827 = 57,827/x
  3. Step 3: Cross multiply
    27,265x = 57,827 × 57,827
  4. Step 4: Simplify right side
    27,265x = 3,343,961,929
  5. Step 5: Solve for x
    x = 3,343,961,929/27,265
  6. Step 6: Final answer
    x = 122,646.69

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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.