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Finding the Third Proportional to 7,203 and 16,685

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Solution

The third proportional to 7,203 and 16,685 is: 38,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203 : 16,685 = 16,685 : x
  2. Step 2: Convert to fraction form
    7,203/16,685 = 16,685/x
  3. Step 3: Cross multiply
    7,203x = 16,685 × 16,685
  4. Step 4: Simplify right side
    7,203x = 278,389,225
  5. Step 5: Solve for x
    x = 278,389,225/7,203
  6. Step 6: Final answer
    x = 38,649.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.