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Finding the Third Proportional to 10,289.53 and 13,976.30

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Solution

The third proportional to 10,289.53 and 13,976.30 is: 18,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.53 : 13,976.30 = 13,976.30 : x
  2. Step 2: Convert to fraction form
    10,289.53/13,976.30 = 13,976.30/x
  3. Step 3: Cross multiply
    10,289.53x = 13,976.30 × 13,976.30
  4. Step 4: Simplify right side
    10,289.53x = 195,336,874.34
  5. Step 5: Solve for x
    x = 195,336,874.34/10,289.53
  6. Step 6: Final answer
    x = 18,984.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.