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Finding the Third Proportional to 12,768.50 and 19,423

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Solution

The third proportional to 12,768.50 and 19,423 is: 29,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.50 : 19,423 = 19,423 : x
  2. Step 2: Convert to fraction form
    12,768.50/19,423 = 19,423/x
  3. Step 3: Cross multiply
    12,768.50x = 19,423 × 19,423
  4. Step 4: Simplify right side
    12,768.50x = 377,252,929
  5. Step 5: Solve for x
    x = 377,252,929/12,768.50
  6. Step 6: Final answer
    x = 29,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.