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Finding the Third Proportional to 19,024 and 40,976

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Solution

The third proportional to 19,024 and 40,976 is: 88,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 40,976 = 40,976 : x
  2. Step 2: Convert to fraction form
    19,024/40,976 = 40,976/x
  3. Step 3: Cross multiply
    19,024x = 40,976 × 40,976
  4. Step 4: Simplify right side
    19,024x = 1,679,032,576
  5. Step 5: Solve for x
    x = 1,679,032,576/19,024
  6. Step 6: Final answer
    x = 88,258.65

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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.