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Finding the Third Proportional to 25,816.25 and 39,466.50

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Solution

The third proportional to 25,816.25 and 39,466.50 is: 60,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.25 : 39,466.50 = 39,466.50 : x
  2. Step 2: Convert to fraction form
    25,816.25/39,466.50 = 39,466.50/x
  3. Step 3: Cross multiply
    25,816.25x = 39,466.50 × 39,466.50
  4. Step 4: Simplify right side
    25,816.25x = 1,557,604,622.25
  5. Step 5: Solve for x
    x = 1,557,604,622.25/25,816.25
  6. Step 6: Final answer
    x = 60,334.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.