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Finding the Third Proportional to 25,971.75 and 56,317.50

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Solution

The third proportional to 25,971.75 and 56,317.50 is: 122,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.75 : 56,317.50 = 56,317.50 : x
  2. Step 2: Convert to fraction form
    25,971.75/56,317.50 = 56,317.50/x
  3. Step 3: Cross multiply
    25,971.75x = 56,317.50 × 56,317.50
  4. Step 4: Simplify right side
    25,971.75x = 3,171,660,806.25
  5. Step 5: Solve for x
    x = 3,171,660,806.25/25,971.75
  6. Step 6: Final answer
    x = 122,119.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.