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Finding the Third Proportional to 14,096.81 and 20,478.94

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Solution

The third proportional to 14,096.81 and 20,478.94 is: 29,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.81 : 20,478.94 = 20,478.94 : x
  2. Step 2: Convert to fraction form
    14,096.81/20,478.94 = 20,478.94/x
  3. Step 3: Cross multiply
    14,096.81x = 20,478.94 × 20,478.94
  4. Step 4: Simplify right side
    14,096.81x = 419,386,881.13
  5. Step 5: Solve for x
    x = 419,386,881.13/14,096.81
  6. Step 6: Final answer
    x = 29,750.48

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.