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Finding the Third Proportional to 27,846 and 60,300

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Solution

The third proportional to 27,846 and 60,300 is: 130,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 60,300 = 60,300 : x
  2. Step 2: Convert to fraction form
    27,846/60,300 = 60,300/x
  3. Step 3: Cross multiply
    27,846x = 60,300 × 60,300
  4. Step 4: Simplify right side
    27,846x = 3,636,090,000
  5. Step 5: Solve for x
    x = 3,636,090,000/27,846
  6. Step 6: Final answer
    x = 130,578.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.