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Finding the Third Proportional to 9,641 and 14,462

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Solution

The third proportional to 9,641 and 14,462 is: 21,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 14,462 = 14,462 : x
  2. Step 2: Convert to fraction form
    9,641/14,462 = 14,462/x
  3. Step 3: Cross multiply
    9,641x = 14,462 × 14,462
  4. Step 4: Simplify right side
    9,641x = 209,149,444
  5. Step 5: Solve for x
    x = 209,149,444/9,641
  6. Step 6: Final answer
    x = 21,693.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.