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Finding the Third Proportional to 9,828 and 20,567.25

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Solution

The third proportional to 9,828 and 20,567.25 is: 43,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 20,567.25 = 20,567.25 : x
  2. Step 2: Convert to fraction form
    9,828/20,567.25 = 20,567.25/x
  3. Step 3: Cross multiply
    9,828x = 20,567.25 × 20,567.25
  4. Step 4: Simplify right side
    9,828x = 423,011,772.56
  5. Step 5: Solve for x
    x = 423,011,772.56/9,828
  6. Step 6: Final answer
    x = 43,041.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.