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Finding the Third Proportional to 13,984 and 16,432

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Solution

The third proportional to 13,984 and 16,432 is: 19,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 16,432 = 16,432 : x
  2. Step 2: Convert to fraction form
    13,984/16,432 = 16,432/x
  3. Step 3: Cross multiply
    13,984x = 16,432 × 16,432
  4. Step 4: Simplify right side
    13,984x = 270,010,624
  5. Step 5: Solve for x
    x = 270,010,624/13,984
  6. Step 6: Final answer
    x = 19,308.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.