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Finding the Third Proportional to 19,081 and 40,984

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Solution

The third proportional to 19,081 and 40,984 is: 88,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,081 : 40,984 = 40,984 : x
  2. Step 2: Convert to fraction form
    19,081/40,984 = 40,984/x
  3. Step 3: Cross multiply
    19,081x = 40,984 × 40,984
  4. Step 4: Simplify right side
    19,081x = 1,679,688,256
  5. Step 5: Solve for x
    x = 1,679,688,256/19,081
  6. Step 6: Final answer
    x = 88,029.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.