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Finding the Third Proportional to 18,425 and 28,823

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Solution

The third proportional to 18,425 and 28,823 is: 45,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,425 : 28,823 = 28,823 : x
  2. Step 2: Convert to fraction form
    18,425/28,823 = 28,823/x
  3. Step 3: Cross multiply
    18,425x = 28,823 × 28,823
  4. Step 4: Simplify right side
    18,425x = 830,765,329
  5. Step 5: Solve for x
    x = 830,765,329/18,425
  6. Step 6: Final answer
    x = 45,089.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.