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Finding the Third Proportional to 21,194.44 and 45,669.38

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Solution

The third proportional to 21,194.44 and 45,669.38 is: 98,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.44 : 45,669.38 = 45,669.38 : x
  2. Step 2: Convert to fraction form
    21,194.44/45,669.38 = 45,669.38/x
  3. Step 3: Cross multiply
    21,194.44x = 45,669.38 × 45,669.38
  4. Step 4: Simplify right side
    21,194.44x = 2,085,691,812.89
  5. Step 5: Solve for x
    x = 2,085,691,812.89/21,194.44
  6. Step 6: Final answer
    x = 98,407.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.