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Finding the Third Proportional to 4,882.36 and 10,506.38

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Solution

The third proportional to 4,882.36 and 10,506.38 is: 22,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.36 : 10,506.38 = 10,506.38 : x
  2. Step 2: Convert to fraction form
    4,882.36/10,506.38 = 10,506.38/x
  3. Step 3: Cross multiply
    4,882.36x = 10,506.38 × 10,506.38
  4. Step 4: Simplify right side
    4,882.36x = 110,383,915.64
  5. Step 5: Solve for x
    x = 110,383,915.64/4,882.36
  6. Step 6: Final answer
    x = 22,608.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.