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Finding the Third Proportional to 27,952 and 59,308

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Solution

The third proportional to 27,952 and 59,308 is: 125,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952 : 59,308 = 59,308 : x
  2. Step 2: Convert to fraction form
    27,952/59,308 = 59,308/x
  3. Step 3: Cross multiply
    27,952x = 59,308 × 59,308
  4. Step 4: Simplify right side
    27,952x = 3,517,438,864
  5. Step 5: Solve for x
    x = 3,517,438,864/27,952
  6. Step 6: Final answer
    x = 125,838.54

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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.