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Finding the Third Proportional to 13,873.50 and 21,529.13

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Solution

The third proportional to 13,873.50 and 21,529.13 is: 33,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.50 : 21,529.13 = 21,529.13 : x
  2. Step 2: Convert to fraction form
    13,873.50/21,529.13 = 21,529.13/x
  3. Step 3: Cross multiply
    13,873.50x = 21,529.13 × 21,529.13
  4. Step 4: Simplify right side
    13,873.50x = 463,503,223.27
  5. Step 5: Solve for x
    x = 463,503,223.27/13,873.50
  6. Step 6: Final answer
    x = 33,409.25

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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.