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Finding the Third Proportional to 13,754 and 20,043

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Solution

The third proportional to 13,754 and 20,043 is: 29,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754 : 20,043 = 20,043 : x
  2. Step 2: Convert to fraction form
    13,754/20,043 = 20,043/x
  3. Step 3: Cross multiply
    13,754x = 20,043 × 20,043
  4. Step 4: Simplify right side
    13,754x = 401,721,849
  5. Step 5: Solve for x
    x = 401,721,849/13,754
  6. Step 6: Final answer
    x = 29,207.64

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Why These Related Problems?

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