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Finding the Third Proportional to 12,048 and 17,707.50

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Solution

The third proportional to 12,048 and 17,707.50 is: 26,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048 : 17,707.50 = 17,707.50 : x
  2. Step 2: Convert to fraction form
    12,048/17,707.50 = 17,707.50/x
  3. Step 3: Cross multiply
    12,048x = 17,707.50 × 17,707.50
  4. Step 4: Simplify right side
    12,048x = 313,555,556.25
  5. Step 5: Solve for x
    x = 313,555,556.25/12,048
  6. Step 6: Final answer
    x = 26,025.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.