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Finding the Third Proportional to 8,384.50 and 17,465

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Solution

The third proportional to 8,384.50 and 17,465 is: 36,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.50 : 17,465 = 17,465 : x
  2. Step 2: Convert to fraction form
    8,384.50/17,465 = 17,465/x
  3. Step 3: Cross multiply
    8,384.50x = 17,465 × 17,465
  4. Step 4: Simplify right side
    8,384.50x = 305,026,225
  5. Step 5: Solve for x
    x = 305,026,225/8,384.50
  6. Step 6: Final answer
    x = 36,379.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.