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Finding the Third Proportional to 25,408.69 and 39,501.42

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Solution

The third proportional to 25,408.69 and 39,501.42 is: 61,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.69 : 39,501.42 = 39,501.42 : x
  2. Step 2: Convert to fraction form
    25,408.69/39,501.42 = 39,501.42/x
  3. Step 3: Cross multiply
    25,408.69x = 39,501.42 × 39,501.42
  4. Step 4: Simplify right side
    25,408.69x = 1,560,362,330.15
  5. Step 5: Solve for x
    x = 1,560,362,330.15/25,408.69
  6. Step 6: Final answer
    x = 61,410.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.