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Finding the Third Proportional to 32,626 and 46,667

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Solution

The third proportional to 32,626 and 46,667 is: 66,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626 : 46,667 = 46,667 : x
  2. Step 2: Convert to fraction form
    32,626/46,667 = 46,667/x
  3. Step 3: Cross multiply
    32,626x = 46,667 × 46,667
  4. Step 4: Simplify right side
    32,626x = 2,177,808,889
  5. Step 5: Solve for x
    x = 2,177,808,889/32,626
  6. Step 6: Final answer
    x = 66,750.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.