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Finding the Third Proportional to 9,724 and 20,833

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Solution

The third proportional to 9,724 and 20,833 is: 44,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 20,833 = 20,833 : x
  2. Step 2: Convert to fraction form
    9,724/20,833 = 20,833/x
  3. Step 3: Cross multiply
    9,724x = 20,833 × 20,833
  4. Step 4: Simplify right side
    9,724x = 434,013,889
  5. Step 5: Solve for x
    x = 434,013,889/9,724
  6. Step 6: Final answer
    x = 44,633.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.