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Finding the Third Proportional to 4,828 and 10,583

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Solution

The third proportional to 4,828 and 10,583 is: 23,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828 : 10,583 = 10,583 : x
  2. Step 2: Convert to fraction form
    4,828/10,583 = 10,583/x
  3. Step 3: Cross multiply
    4,828x = 10,583 × 10,583
  4. Step 4: Simplify right side
    4,828x = 111,999,889
  5. Step 5: Solve for x
    x = 111,999,889/4,828
  6. Step 6: Final answer
    x = 23,197.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.