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Finding the Third Proportional to 23,420 and 44,680

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Solution

The third proportional to 23,420 and 44,680 is: 85,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420 : 44,680 = 44,680 : x
  2. Step 2: Convert to fraction form
    23,420/44,680 = 44,680/x
  3. Step 3: Cross multiply
    23,420x = 44,680 × 44,680
  4. Step 4: Simplify right side
    23,420x = 1,996,302,400
  5. Step 5: Solve for x
    x = 1,996,302,400/23,420
  6. Step 6: Final answer
    x = 85,239.21

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.