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Finding the Third Proportional to 6,441.25 and 13,574.50

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Solution

The third proportional to 6,441.25 and 13,574.50 is: 28,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.25 : 13,574.50 = 13,574.50 : x
  2. Step 2: Convert to fraction form
    6,441.25/13,574.50 = 13,574.50/x
  3. Step 3: Cross multiply
    6,441.25x = 13,574.50 × 13,574.50
  4. Step 4: Simplify right side
    6,441.25x = 184,267,050.25
  5. Step 5: Solve for x
    x = 184,267,050.25/6,441.25
  6. Step 6: Final answer
    x = 28,607.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.