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Finding the Third Proportional to 4,504.50 and 8,154

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Solution

The third proportional to 4,504.50 and 8,154 is: 14,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.50 : 8,154 = 8,154 : x
  2. Step 2: Convert to fraction form
    4,504.50/8,154 = 8,154/x
  3. Step 3: Cross multiply
    4,504.50x = 8,154 × 8,154
  4. Step 4: Simplify right side
    4,504.50x = 66,487,716
  5. Step 5: Solve for x
    x = 66,487,716/4,504.50
  6. Step 6: Final answer
    x = 14,760.29

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.