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Finding the Third Proportional to 9,385.50 and 16,684.13

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Solution

The third proportional to 9,385.50 and 16,684.13 is: 29,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.50 : 16,684.13 = 16,684.13 : x
  2. Step 2: Convert to fraction form
    9,385.50/16,684.13 = 16,684.13/x
  3. Step 3: Cross multiply
    9,385.50x = 16,684.13 × 16,684.13
  4. Step 4: Simplify right side
    9,385.50x = 278,360,027.02
  5. Step 5: Solve for x
    x = 278,360,027.02/9,385.50
  6. Step 6: Final answer
    x = 29,658.52

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.