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Finding the Third Proportional to 19,216 and 41,504

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Solution

The third proportional to 19,216 and 41,504 is: 89,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 41,504 = 41,504 : x
  2. Step 2: Convert to fraction form
    19,216/41,504 = 41,504/x
  3. Step 3: Cross multiply
    19,216x = 41,504 × 41,504
  4. Step 4: Simplify right side
    19,216x = 1,722,582,016
  5. Step 5: Solve for x
    x = 1,722,582,016/19,216
  6. Step 6: Final answer
    x = 89,643.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.