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Finding the Third Proportional to 19,089 and 40,122

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Solution

The third proportional to 19,089 and 40,122 is: 84,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 40,122 = 40,122 : x
  2. Step 2: Convert to fraction form
    19,089/40,122 = 40,122/x
  3. Step 3: Cross multiply
    19,089x = 40,122 × 40,122
  4. Step 4: Simplify right side
    19,089x = 1,609,774,884
  5. Step 5: Solve for x
    x = 1,609,774,884/19,089
  6. Step 6: Final answer
    x = 84,329.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.