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Finding the Third Proportional to 8,530 and 18,428

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Solution

The third proportional to 8,530 and 18,428 is: 39,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 18,428 = 18,428 : x
  2. Step 2: Convert to fraction form
    8,530/18,428 = 18,428/x
  3. Step 3: Cross multiply
    8,530x = 18,428 × 18,428
  4. Step 4: Simplify right side
    8,530x = 339,591,184
  5. Step 5: Solve for x
    x = 339,591,184/8,530
  6. Step 6: Final answer
    x = 39,811.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.