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Finding the Third Proportional to 19,052 and 41,284

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Solution

The third proportional to 19,052 and 41,284 is: 89,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,052 : 41,284 = 41,284 : x
  2. Step 2: Convert to fraction form
    19,052/41,284 = 41,284/x
  3. Step 3: Cross multiply
    19,052x = 41,284 × 41,284
  4. Step 4: Simplify right side
    19,052x = 1,704,368,656
  5. Step 5: Solve for x
    x = 1,704,368,656/19,052
  6. Step 6: Final answer
    x = 89,458.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.