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Finding the Third Proportional to 23,568.75 and 51,673.50

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Solution

The third proportional to 23,568.75 and 51,673.50 is: 113,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.75 : 51,673.50 = 51,673.50 : x
  2. Step 2: Convert to fraction form
    23,568.75/51,673.50 = 51,673.50/x
  3. Step 3: Cross multiply
    23,568.75x = 51,673.50 × 51,673.50
  4. Step 4: Simplify right side
    23,568.75x = 2,670,150,602.25
  5. Step 5: Solve for x
    x = 2,670,150,602.25/23,568.75
  6. Step 6: Final answer
    x = 113,291.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.