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Finding the Third Proportional to 19,339 and 28,999

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Solution

The third proportional to 19,339 and 28,999 is: 43,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,339 : 28,999 = 28,999 : x
  2. Step 2: Convert to fraction form
    19,339/28,999 = 28,999/x
  3. Step 3: Cross multiply
    19,339x = 28,999 × 28,999
  4. Step 4: Simplify right side
    19,339x = 840,942,001
  5. Step 5: Solve for x
    x = 840,942,001/19,339
  6. Step 6: Final answer
    x = 43,484.25

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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.