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Finding the Third Proportional to 13,871.81 and 21,153.94

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Solution

The third proportional to 13,871.81 and 21,153.94 is: 32,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.81 : 21,153.94 = 21,153.94 : x
  2. Step 2: Convert to fraction form
    13,871.81/21,153.94 = 21,153.94/x
  3. Step 3: Cross multiply
    13,871.81x = 21,153.94 × 21,153.94
  4. Step 4: Simplify right side
    13,871.81x = 447,489,071.75
  5. Step 5: Solve for x
    x = 447,489,071.75/13,871.81
  6. Step 6: Final answer
    x = 32,258.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.