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Finding the Third Proportional to 9,629 and 20,641

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Solution

The third proportional to 9,629 and 20,641 is: 44,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629 : 20,641 = 20,641 : x
  2. Step 2: Convert to fraction form
    9,629/20,641 = 20,641/x
  3. Step 3: Cross multiply
    9,629x = 20,641 × 20,641
  4. Step 4: Simplify right side
    9,629x = 426,050,881
  5. Step 5: Solve for x
    x = 426,050,881/9,629
  6. Step 6: Final answer
    x = 44,246.64

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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.