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Finding the Third Proportional to 14,089 and 18,529.50

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Solution

The third proportional to 14,089 and 18,529.50 is: 24,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089 : 18,529.50 = 18,529.50 : x
  2. Step 2: Convert to fraction form
    14,089/18,529.50 = 18,529.50/x
  3. Step 3: Cross multiply
    14,089x = 18,529.50 × 18,529.50
  4. Step 4: Simplify right side
    14,089x = 343,342,370.25
  5. Step 5: Solve for x
    x = 343,342,370.25/14,089
  6. Step 6: Final answer
    x = 24,369.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.