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Finding the Third Proportional to 27,458 and 59,191

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Solution

The third proportional to 27,458 and 59,191 is: 127,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 59,191 = 59,191 : x
  2. Step 2: Convert to fraction form
    27,458/59,191 = 59,191/x
  3. Step 3: Cross multiply
    27,458x = 59,191 × 59,191
  4. Step 4: Simplify right side
    27,458x = 3,503,574,481
  5. Step 5: Solve for x
    x = 3,503,574,481/27,458
  6. Step 6: Final answer
    x = 127,597.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.