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Finding the Third Proportional to 25,965.75 and 56,487.75

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Solution

The third proportional to 25,965.75 and 56,487.75 is: 122,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.75 : 56,487.75 = 56,487.75 : x
  2. Step 2: Convert to fraction form
    25,965.75/56,487.75 = 56,487.75/x
  3. Step 3: Cross multiply
    25,965.75x = 56,487.75 × 56,487.75
  4. Step 4: Simplify right side
    25,965.75x = 3,190,865,900.06
  5. Step 5: Solve for x
    x = 3,190,865,900.06/25,965.75
  6. Step 6: Final answer
    x = 122,887.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.