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Finding the Third Proportional to 13,859.50 and 24,641

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Solution

The third proportional to 13,859.50 and 24,641 is: 43,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.50 : 24,641 = 24,641 : x
  2. Step 2: Convert to fraction form
    13,859.50/24,641 = 24,641/x
  3. Step 3: Cross multiply
    13,859.50x = 24,641 × 24,641
  4. Step 4: Simplify right side
    13,859.50x = 607,178,881
  5. Step 5: Solve for x
    x = 607,178,881/13,859.50
  6. Step 6: Final answer
    x = 43,809.58

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.