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Finding the Third Proportional to 19,089 and 29,058.75

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Solution

The third proportional to 19,089 and 29,058.75 is: 44,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 29,058.75 = 29,058.75 : x
  2. Step 2: Convert to fraction form
    19,089/29,058.75 = 29,058.75/x
  3. Step 3: Cross multiply
    19,089x = 29,058.75 × 29,058.75
  4. Step 4: Simplify right side
    19,089x = 844,410,951.56
  5. Step 5: Solve for x
    x = 844,410,951.56/19,089
  6. Step 6: Final answer
    x = 44,235.47

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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.