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Finding the Third Proportional to 14,184 and 19,200

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Solution

The third proportional to 14,184 and 19,200 is: 25,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 19,200 = 19,200 : x
  2. Step 2: Convert to fraction form
    14,184/19,200 = 19,200/x
  3. Step 3: Cross multiply
    14,184x = 19,200 × 19,200
  4. Step 4: Simplify right side
    14,184x = 368,640,000
  5. Step 5: Solve for x
    x = 368,640,000/14,184
  6. Step 6: Final answer
    x = 25,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.