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Finding the Third Proportional to 9,724 and 20,863

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Solution

The third proportional to 9,724 and 20,863 is: 44,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 20,863 = 20,863 : x
  2. Step 2: Convert to fraction form
    9,724/20,863 = 20,863/x
  3. Step 3: Cross multiply
    9,724x = 20,863 × 20,863
  4. Step 4: Simplify right side
    9,724x = 435,264,769
  5. Step 5: Solve for x
    x = 435,264,769/9,724
  6. Step 6: Final answer
    x = 44,761.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.