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Finding the Third Proportional to 14,488.50 and 20,679.69

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Solution

The third proportional to 14,488.50 and 20,679.69 is: 29,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.50 : 20,679.69 = 20,679.69 : x
  2. Step 2: Convert to fraction form
    14,488.50/20,679.69 = 20,679.69/x
  3. Step 3: Cross multiply
    14,488.50x = 20,679.69 × 20,679.69
  4. Step 4: Simplify right side
    14,488.50x = 427,649,475.10
  5. Step 5: Solve for x
    x = 427,649,475.10/14,488.50
  6. Step 6: Final answer
    x = 29,516.48

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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.