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Finding the Third Proportional to 4,925 and 10,582

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Solution

The third proportional to 4,925 and 10,582 is: 22,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925 : 10,582 = 10,582 : x
  2. Step 2: Convert to fraction form
    4,925/10,582 = 10,582/x
  3. Step 3: Cross multiply
    4,925x = 10,582 × 10,582
  4. Step 4: Simplify right side
    4,925x = 111,978,724
  5. Step 5: Solve for x
    x = 111,978,724/4,925
  6. Step 6: Final answer
    x = 22,736.80

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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.