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Finding the Third Proportional to 14,000 and 19,992

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Solution

The third proportional to 14,000 and 19,992 is: 28,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 19,992 = 19,992 : x
  2. Step 2: Convert to fraction form
    14,000/19,992 = 19,992/x
  3. Step 3: Cross multiply
    14,000x = 19,992 × 19,992
  4. Step 4: Simplify right side
    14,000x = 399,680,064
  5. Step 5: Solve for x
    x = 399,680,064/14,000
  6. Step 6: Final answer
    x = 28,548.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.