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Finding the Third Proportional to 12,683 and 19,025

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Solution

The third proportional to 12,683 and 19,025 is: 28,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683 : 19,025 = 19,025 : x
  2. Step 2: Convert to fraction form
    12,683/19,025 = 19,025/x
  3. Step 3: Cross multiply
    12,683x = 19,025 × 19,025
  4. Step 4: Simplify right side
    12,683x = 361,950,625
  5. Step 5: Solve for x
    x = 361,950,625/12,683
  6. Step 6: Final answer
    x = 28,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.