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Finding the Third Proportional to 11,695 and 25,851.50

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Solution

The third proportional to 11,695 and 25,851.50 is: 57,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695 : 25,851.50 = 25,851.50 : x
  2. Step 2: Convert to fraction form
    11,695/25,851.50 = 25,851.50/x
  3. Step 3: Cross multiply
    11,695x = 25,851.50 × 25,851.50
  4. Step 4: Simplify right side
    11,695x = 668,300,052.25
  5. Step 5: Solve for x
    x = 668,300,052.25/11,695
  6. Step 6: Final answer
    x = 57,144.08

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.