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Finding the Third Proportional to 27,268 and 58,423

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Solution

The third proportional to 27,268 and 58,423 is: 125,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268 : 58,423 = 58,423 : x
  2. Step 2: Convert to fraction form
    27,268/58,423 = 58,423/x
  3. Step 3: Cross multiply
    27,268x = 58,423 × 58,423
  4. Step 4: Simplify right side
    27,268x = 3,413,246,929
  5. Step 5: Solve for x
    x = 3,413,246,929/27,268
  6. Step 6: Final answer
    x = 125,174.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.