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Finding the Third Proportional to 8,821.50 and 13,664.25

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Solution

The third proportional to 8,821.50 and 13,664.25 is: 21,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.50 : 13,664.25 = 13,664.25 : x
  2. Step 2: Convert to fraction form
    8,821.50/13,664.25 = 13,664.25/x
  3. Step 3: Cross multiply
    8,821.50x = 13,664.25 × 13,664.25
  4. Step 4: Simplify right side
    8,821.50x = 186,711,728.06
  5. Step 5: Solve for x
    x = 186,711,728.06/8,821.50
  6. Step 6: Final answer
    x = 21,165.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.