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Finding the Third Proportional to 19,122 and 39,996

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Solution

The third proportional to 19,122 and 39,996 is: 83,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122 : 39,996 = 39,996 : x
  2. Step 2: Convert to fraction form
    19,122/39,996 = 39,996/x
  3. Step 3: Cross multiply
    19,122x = 39,996 × 39,996
  4. Step 4: Simplify right side
    19,122x = 1,599,680,016
  5. Step 5: Solve for x
    x = 1,599,680,016/19,122
  6. Step 6: Final answer
    x = 83,656.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.