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Finding the Third Proportional to 8,030 and 16,573

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Solution

The third proportional to 8,030 and 16,573 is: 34,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030 : 16,573 = 16,573 : x
  2. Step 2: Convert to fraction form
    8,030/16,573 = 16,573/x
  3. Step 3: Cross multiply
    8,030x = 16,573 × 16,573
  4. Step 4: Simplify right side
    8,030x = 274,664,329
  5. Step 5: Solve for x
    x = 274,664,329/8,030
  6. Step 6: Final answer
    x = 34,204.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.