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Finding the Third Proportional to 13,882.01 and 20,304.42

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Solution

The third proportional to 13,882.01 and 20,304.42 is: 29,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.01 : 20,304.42 = 20,304.42 : x
  2. Step 2: Convert to fraction form
    13,882.01/20,304.42 = 20,304.42/x
  3. Step 3: Cross multiply
    13,882.01x = 20,304.42 × 20,304.42
  4. Step 4: Simplify right side
    13,882.01x = 412,269,547.68
  5. Step 5: Solve for x
    x = 412,269,547.68/13,882.01
  6. Step 6: Final answer
    x = 29,698.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.