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Finding the Third Proportional to 19,422.75 and 41,615.25

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Solution

The third proportional to 19,422.75 and 41,615.25 is: 89,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.75 : 41,615.25 = 41,615.25 : x
  2. Step 2: Convert to fraction form
    19,422.75/41,615.25 = 41,615.25/x
  3. Step 3: Cross multiply
    19,422.75x = 41,615.25 × 41,615.25
  4. Step 4: Simplify right side
    19,422.75x = 1,731,829,032.56
  5. Step 5: Solve for x
    x = 1,731,829,032.56/19,422.75
  6. Step 6: Final answer
    x = 89,164.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.