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Finding the Third Proportional to 25,431.75 and 55,418.63

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Solution

The third proportional to 25,431.75 and 55,418.63 is: 120,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.75 : 55,418.63 = 55,418.63 : x
  2. Step 2: Convert to fraction form
    25,431.75/55,418.63 = 55,418.63/x
  3. Step 3: Cross multiply
    25,431.75x = 55,418.63 × 55,418.63
  4. Step 4: Simplify right side
    25,431.75x = 3,071,223,996.89
  5. Step 5: Solve for x
    x = 3,071,223,996.89/25,431.75
  6. Step 6: Final answer
    x = 120,763.38

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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.