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Finding the Third Proportional to 13,524.47 and 21,535.88

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Solution

The third proportional to 13,524.47 and 21,535.88 is: 34,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.47 : 21,535.88 = 21,535.88 : x
  2. Step 2: Convert to fraction form
    13,524.47/21,535.88 = 21,535.88/x
  3. Step 3: Cross multiply
    13,524.47x = 21,535.88 × 21,535.88
  4. Step 4: Simplify right side
    13,524.47x = 463,793,912.02
  5. Step 5: Solve for x
    x = 463,793,912.02/13,524.47
  6. Step 6: Final answer
    x = 34,292.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.