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Finding the Third Proportional to 14,678 and 28,621

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Solution

The third proportional to 14,678 and 28,621 is: 55,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678 : 28,621 = 28,621 : x
  2. Step 2: Convert to fraction form
    14,678/28,621 = 28,621/x
  3. Step 3: Cross multiply
    14,678x = 28,621 × 28,621
  4. Step 4: Simplify right side
    14,678x = 819,161,641
  5. Step 5: Solve for x
    x = 819,161,641/14,678
  6. Step 6: Final answer
    x = 55,808.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.