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Finding the Third Proportional to 24,828 and 54,030

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Solution

The third proportional to 24,828 and 54,030 is: 117,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 54,030 = 54,030 : x
  2. Step 2: Convert to fraction form
    24,828/54,030 = 54,030/x
  3. Step 3: Cross multiply
    24,828x = 54,030 × 54,030
  4. Step 4: Simplify right side
    24,828x = 2,919,240,900
  5. Step 5: Solve for x
    x = 2,919,240,900/24,828
  6. Step 6: Final answer
    x = 117,578.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.