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Finding the Third Proportional to 19,089 and 28,669.50

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Solution

The third proportional to 19,089 and 28,669.50 is: 43,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 28,669.50 = 28,669.50 : x
  2. Step 2: Convert to fraction form
    19,089/28,669.50 = 28,669.50/x
  3. Step 3: Cross multiply
    19,089x = 28,669.50 × 28,669.50
  4. Step 4: Simplify right side
    19,089x = 821,940,230.25
  5. Step 5: Solve for x
    x = 821,940,230.25/19,089
  6. Step 6: Final answer
    x = 43,058.32

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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.