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Finding the Third Proportional to 8,049.50 and 17,529.16

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Solution

The third proportional to 8,049.50 and 17,529.16 is: 38,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.50 : 17,529.16 = 17,529.16 : x
  2. Step 2: Convert to fraction form
    8,049.50/17,529.16 = 17,529.16/x
  3. Step 3: Cross multiply
    8,049.50x = 17,529.16 × 17,529.16
  4. Step 4: Simplify right side
    8,049.50x = 307,271,318.84
  5. Step 5: Solve for x
    x = 307,271,318.84/8,049.50
  6. Step 6: Final answer
    x = 38,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.