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Finding the Third Proportional to 25,493.06 and 54,675.42

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Solution

The third proportional to 25,493.06 and 54,675.42 is: 117,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.06 : 54,675.42 = 54,675.42 : x
  2. Step 2: Convert to fraction form
    25,493.06/54,675.42 = 54,675.42/x
  3. Step 3: Cross multiply
    25,493.06x = 54,675.42 × 54,675.42
  4. Step 4: Simplify right side
    25,493.06x = 2,989,401,757.21
  5. Step 5: Solve for x
    x = 2,989,401,757.21/25,493.06
  6. Step 6: Final answer
    x = 117,263.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.