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Finding the Third Proportional to 9,828 and 21,039

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Solution

The third proportional to 9,828 and 21,039 is: 45,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 21,039 = 21,039 : x
  2. Step 2: Convert to fraction form
    9,828/21,039 = 21,039/x
  3. Step 3: Cross multiply
    9,828x = 21,039 × 21,039
  4. Step 4: Simplify right side
    9,828x = 442,639,521
  5. Step 5: Solve for x
    x = 442,639,521/9,828
  6. Step 6: Final answer
    x = 45,038.62

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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.