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Finding the Third Proportional to 14,103 and 16,816.50

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Solution

The third proportional to 14,103 and 16,816.50 is: 20,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 16,816.50 = 16,816.50 : x
  2. Step 2: Convert to fraction form
    14,103/16,816.50 = 16,816.50/x
  3. Step 3: Cross multiply
    14,103x = 16,816.50 × 16,816.50
  4. Step 4: Simplify right side
    14,103x = 282,794,672.25
  5. Step 5: Solve for x
    x = 282,794,672.25/14,103
  6. Step 6: Final answer
    x = 20,052.09

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.