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Finding the Third Proportional to 19,128 and 41,948

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Solution

The third proportional to 19,128 and 41,948 is: 91,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,128 : 41,948 = 41,948 : x
  2. Step 2: Convert to fraction form
    19,128/41,948 = 41,948/x
  3. Step 3: Cross multiply
    19,128x = 41,948 × 41,948
  4. Step 4: Simplify right side
    19,128x = 1,759,634,704
  5. Step 5: Solve for x
    x = 1,759,634,704/19,128
  6. Step 6: Final answer
    x = 91,992.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.