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Finding the Third Proportional to 24,657.75 and 57,629.25

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Solution

The third proportional to 24,657.75 and 57,629.25 is: 134,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.75 : 57,629.25 = 57,629.25 : x
  2. Step 2: Convert to fraction form
    24,657.75/57,629.25 = 57,629.25/x
  3. Step 3: Cross multiply
    24,657.75x = 57,629.25 × 57,629.25
  4. Step 4: Simplify right side
    24,657.75x = 3,321,130,455.56
  5. Step 5: Solve for x
    x = 3,321,130,455.56/24,657.75
  6. Step 6: Final answer
    x = 134,689.11

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.