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Finding the Third Proportional to 38,575 and 80,222

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Solution

The third proportional to 38,575 and 80,222 is: 166,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575 : 80,222 = 80,222 : x
  2. Step 2: Convert to fraction form
    38,575/80,222 = 80,222/x
  3. Step 3: Cross multiply
    38,575x = 80,222 × 80,222
  4. Step 4: Simplify right side
    38,575x = 6,435,569,284
  5. Step 5: Solve for x
    x = 6,435,569,284/38,575
  6. Step 6: Final answer
    x = 166,832.65

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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.