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Finding the Third Proportional to 23,968.13 and 51,615.56

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Solution

The third proportional to 23,968.13 and 51,615.56 is: 111,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.13 : 51,615.56 = 51,615.56 : x
  2. Step 2: Convert to fraction form
    23,968.13/51,615.56 = 51,615.56/x
  3. Step 3: Cross multiply
    23,968.13x = 51,615.56 × 51,615.56
  4. Step 4: Simplify right side
    23,968.13x = 2,664,166,292.19
  5. Step 5: Solve for x
    x = 2,664,166,292.19/23,968.13
  6. Step 6: Final answer
    x = 111,154.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.