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Finding the Third Proportional to 19,095 and 41,955

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Solution

The third proportional to 19,095 and 41,955 is: 92,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095 : 41,955 = 41,955 : x
  2. Step 2: Convert to fraction form
    19,095/41,955 = 41,955/x
  3. Step 3: Cross multiply
    19,095x = 41,955 × 41,955
  4. Step 4: Simplify right side
    19,095x = 1,760,222,025
  5. Step 5: Solve for x
    x = 1,760,222,025/19,095
  6. Step 6: Final answer
    x = 92,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.