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Finding the Third Proportional to 27,482 and 58,858

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Solution

The third proportional to 27,482 and 58,858 is: 126,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482 : 58,858 = 58,858 : x
  2. Step 2: Convert to fraction form
    27,482/58,858 = 58,858/x
  3. Step 3: Cross multiply
    27,482x = 58,858 × 58,858
  4. Step 4: Simplify right side
    27,482x = 3,464,264,164
  5. Step 5: Solve for x
    x = 3,464,264,164/27,482
  6. Step 6: Final answer
    x = 126,055.75

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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.