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Finding the Third Proportional to 8,670 and 18,913

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Solution

The third proportional to 8,670 and 18,913 is: 41,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 18,913 = 18,913 : x
  2. Step 2: Convert to fraction form
    8,670/18,913 = 18,913/x
  3. Step 3: Cross multiply
    8,670x = 18,913 × 18,913
  4. Step 4: Simplify right side
    8,670x = 357,701,569
  5. Step 5: Solve for x
    x = 357,701,569/8,670
  6. Step 6: Final answer
    x = 41,257.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.