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Finding the Third Proportional to 12,339 and 19,110.94

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Solution

The third proportional to 12,339 and 19,110.94 is: 29,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339 : 19,110.94 = 19,110.94 : x
  2. Step 2: Convert to fraction form
    12,339/19,110.94 = 19,110.94/x
  3. Step 3: Cross multiply
    12,339x = 19,110.94 × 19,110.94
  4. Step 4: Simplify right side
    12,339x = 365,227,932.13
  5. Step 5: Solve for x
    x = 365,227,932.13/12,339
  6. Step 6: Final answer
    x = 29,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.