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Finding the Third Proportional to 10,212.19 and 14,629.78

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Solution

The third proportional to 10,212.19 and 14,629.78 is: 20,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.19 : 14,629.78 = 14,629.78 : x
  2. Step 2: Convert to fraction form
    10,212.19/14,629.78 = 14,629.78/x
  3. Step 3: Cross multiply
    10,212.19x = 14,629.78 × 14,629.78
  4. Step 4: Simplify right side
    10,212.19x = 214,030,499.42
  5. Step 5: Solve for x
    x = 214,030,499.42/10,212.19
  6. Step 6: Final answer
    x = 20,958.34

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.