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Finding the Third Proportional to 19,936 and 32,400

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Solution

The third proportional to 19,936 and 32,400 is: 52,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 32,400 = 32,400 : x
  2. Step 2: Convert to fraction form
    19,936/32,400 = 32,400/x
  3. Step 3: Cross multiply
    19,936x = 32,400 × 32,400
  4. Step 4: Simplify right side
    19,936x = 1,049,760,000
  5. Step 5: Solve for x
    x = 1,049,760,000/19,936
  6. Step 6: Final answer
    x = 52,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.