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Finding the Third Proportional to 14,782 and 16,402

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Solution

The third proportional to 14,782 and 16,402 is: 18,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782 : 16,402 = 16,402 : x
  2. Step 2: Convert to fraction form
    14,782/16,402 = 16,402/x
  3. Step 3: Cross multiply
    14,782x = 16,402 × 16,402
  4. Step 4: Simplify right side
    14,782x = 269,025,604
  5. Step 5: Solve for x
    x = 269,025,604/14,782
  6. Step 6: Final answer
    x = 18,199.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.