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Finding the Third Proportional to 20,432 and 30,772

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Solution

The third proportional to 20,432 and 30,772 is: 46,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 30,772 = 30,772 : x
  2. Step 2: Convert to fraction form
    20,432/30,772 = 30,772/x
  3. Step 3: Cross multiply
    20,432x = 30,772 × 30,772
  4. Step 4: Simplify right side
    20,432x = 946,915,984
  5. Step 5: Solve for x
    x = 946,915,984/20,432
  6. Step 6: Final answer
    x = 46,344.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.