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Finding the Third Proportional to 13,532 and 18,921

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Solution

The third proportional to 13,532 and 18,921 is: 26,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 18,921 = 18,921 : x
  2. Step 2: Convert to fraction form
    13,532/18,921 = 18,921/x
  3. Step 3: Cross multiply
    13,532x = 18,921 × 18,921
  4. Step 4: Simplify right side
    13,532x = 358,004,241
  5. Step 5: Solve for x
    x = 358,004,241/13,532
  6. Step 6: Final answer
    x = 26,456.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.