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Finding the Third Proportional to 15,219 and 23,010.75

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Solution

The third proportional to 15,219 and 23,010.75 is: 34,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219 : 23,010.75 = 23,010.75 : x
  2. Step 2: Convert to fraction form
    15,219/23,010.75 = 23,010.75/x
  3. Step 3: Cross multiply
    15,219x = 23,010.75 × 23,010.75
  4. Step 4: Simplify right side
    15,219x = 529,494,615.56
  5. Step 5: Solve for x
    x = 529,494,615.56/15,219
  6. Step 6: Final answer
    x = 34,791.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.