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Finding the Third Proportional to 32,469 and 46,512

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Solution

The third proportional to 32,469 and 46,512 is: 66,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469 : 46,512 = 46,512 : x
  2. Step 2: Convert to fraction form
    32,469/46,512 = 46,512/x
  3. Step 3: Cross multiply
    32,469x = 46,512 × 46,512
  4. Step 4: Simplify right side
    32,469x = 2,163,366,144
  5. Step 5: Solve for x
    x = 2,163,366,144/32,469
  6. Step 6: Final answer
    x = 66,628.67

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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.