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Finding the Third Proportional to 10,202.63 and 14,441.63

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Solution

The third proportional to 10,202.63 and 14,441.63 is: 20,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.63 : 14,441.63 = 14,441.63 : x
  2. Step 2: Convert to fraction form
    10,202.63/14,441.63 = 14,441.63/x
  3. Step 3: Cross multiply
    10,202.63x = 14,441.63 × 14,441.63
  4. Step 4: Simplify right side
    10,202.63x = 208,560,532.64
  5. Step 5: Solve for x
    x = 208,560,532.64/10,202.63
  6. Step 6: Final answer
    x = 20,441.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.