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Finding the Third Proportional to 7,994.25 and 12,649.50

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Solution

The third proportional to 7,994.25 and 12,649.50 is: 20,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.25 : 12,649.50 = 12,649.50 : x
  2. Step 2: Convert to fraction form
    7,994.25/12,649.50 = 12,649.50/x
  3. Step 3: Cross multiply
    7,994.25x = 12,649.50 × 12,649.50
  4. Step 4: Simplify right side
    7,994.25x = 160,009,850.25
  5. Step 5: Solve for x
    x = 160,009,850.25/7,994.25
  6. Step 6: Final answer
    x = 20,015.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.