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Finding the Third Proportional to 18,416 and 38,272

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Solution

The third proportional to 18,416 and 38,272 is: 79,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 38,272 = 38,272 : x
  2. Step 2: Convert to fraction form
    18,416/38,272 = 38,272/x
  3. Step 3: Cross multiply
    18,416x = 38,272 × 38,272
  4. Step 4: Simplify right side
    18,416x = 1,464,745,984
  5. Step 5: Solve for x
    x = 1,464,745,984/18,416
  6. Step 6: Final answer
    x = 79,536.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.