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Finding the Third Proportional to 19,289 and 40,114

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Solution

The third proportional to 19,289 and 40,114 is: 83,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289 : 40,114 = 40,114 : x
  2. Step 2: Convert to fraction form
    19,289/40,114 = 40,114/x
  3. Step 3: Cross multiply
    19,289x = 40,114 × 40,114
  4. Step 4: Simplify right side
    19,289x = 1,609,132,996
  5. Step 5: Solve for x
    x = 1,609,132,996/19,289
  6. Step 6: Final answer
    x = 83,422.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.