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Finding the Third Proportional to 19,600 and 38,232

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Solution

The third proportional to 19,600 and 38,232 is: 74,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 38,232 = 38,232 : x
  2. Step 2: Convert to fraction form
    19,600/38,232 = 38,232/x
  3. Step 3: Cross multiply
    19,600x = 38,232 × 38,232
  4. Step 4: Simplify right side
    19,600x = 1,461,685,824
  5. Step 5: Solve for x
    x = 1,461,685,824/19,600
  6. Step 6: Final answer
    x = 74,575.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.