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Finding the Third Proportional to 32,245 and 45,667

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Solution

The third proportional to 32,245 and 45,667 is: 64,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245 : 45,667 = 45,667 : x
  2. Step 2: Convert to fraction form
    32,245/45,667 = 45,667/x
  3. Step 3: Cross multiply
    32,245x = 45,667 × 45,667
  4. Step 4: Simplify right side
    32,245x = 2,085,474,889
  5. Step 5: Solve for x
    x = 2,085,474,889/32,245
  6. Step 6: Final answer
    x = 64,675.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.