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Finding the Third Proportional to 13,832 and 16,280

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Solution

The third proportional to 13,832 and 16,280 is: 19,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 16,280 = 16,280 : x
  2. Step 2: Convert to fraction form
    13,832/16,280 = 16,280/x
  3. Step 3: Cross multiply
    13,832x = 16,280 × 16,280
  4. Step 4: Simplify right side
    13,832x = 265,038,400
  5. Step 5: Solve for x
    x = 265,038,400/13,832
  6. Step 6: Final answer
    x = 19,161.25

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1.5x scale

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.