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Finding the Third Proportional to 14,288 and 16,160

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Solution

The third proportional to 14,288 and 16,160 is: 18,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288 : 16,160 = 16,160 : x
  2. Step 2: Convert to fraction form
    14,288/16,160 = 16,160/x
  3. Step 3: Cross multiply
    14,288x = 16,160 × 16,160
  4. Step 4: Simplify right side
    14,288x = 261,145,600
  5. Step 5: Solve for x
    x = 261,145,600/14,288
  6. Step 6: Final answer
    x = 18,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.