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Finding the Third Proportional to 19,615.75 and 25,186

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Solution

The third proportional to 19,615.75 and 25,186 is: 32,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.75 : 25,186 = 25,186 : x
  2. Step 2: Convert to fraction form
    19,615.75/25,186 = 25,186/x
  3. Step 3: Cross multiply
    19,615.75x = 25,186 × 25,186
  4. Step 4: Simplify right side
    19,615.75x = 634,334,596
  5. Step 5: Solve for x
    x = 634,334,596/19,615.75
  6. Step 6: Final answer
    x = 32,338.02

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.