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Finding the Third Proportional to 8,823 and 18,925

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Solution

The third proportional to 8,823 and 18,925 is: 40,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 18,925 = 18,925 : x
  2. Step 2: Convert to fraction form
    8,823/18,925 = 18,925/x
  3. Step 3: Cross multiply
    8,823x = 18,925 × 18,925
  4. Step 4: Simplify right side
    8,823x = 358,155,625
  5. Step 5: Solve for x
    x = 358,155,625/8,823
  6. Step 6: Final answer
    x = 40,593.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.