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Finding the Third Proportional to 20,679 and 31,632

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Solution

The third proportional to 20,679 and 31,632 is: 48,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679 : 31,632 = 31,632 : x
  2. Step 2: Convert to fraction form
    20,679/31,632 = 31,632/x
  3. Step 3: Cross multiply
    20,679x = 31,632 × 31,632
  4. Step 4: Simplify right side
    20,679x = 1,000,583,424
  5. Step 5: Solve for x
    x = 1,000,583,424/20,679
  6. Step 6: Final answer
    x = 48,386.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.