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Finding the Third Proportional to 23,627.25 and 51,133.50

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Solution

The third proportional to 23,627.25 and 51,133.50 is: 110,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.25 : 51,133.50 = 51,133.50 : x
  2. Step 2: Convert to fraction form
    23,627.25/51,133.50 = 51,133.50/x
  3. Step 3: Cross multiply
    23,627.25x = 51,133.50 × 51,133.50
  4. Step 4: Simplify right side
    23,627.25x = 2,614,634,822.25
  5. Step 5: Solve for x
    x = 2,614,634,822.25/23,627.25
  6. Step 6: Final answer
    x = 110,661.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.