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Finding the Third Proportional to 8,527 and 18,349

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Solution

The third proportional to 8,527 and 18,349 is: 39,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527 : 18,349 = 18,349 : x
  2. Step 2: Convert to fraction form
    8,527/18,349 = 18,349/x
  3. Step 3: Cross multiply
    8,527x = 18,349 × 18,349
  4. Step 4: Simplify right side
    8,527x = 336,685,801
  5. Step 5: Solve for x
    x = 336,685,801/8,527
  6. Step 6: Final answer
    x = 39,484.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.