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Finding the Third Proportional to 7,206 and 16,602

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Solution

The third proportional to 7,206 and 16,602 is: 38,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 16,602 = 16,602 : x
  2. Step 2: Convert to fraction form
    7,206/16,602 = 16,602/x
  3. Step 3: Cross multiply
    7,206x = 16,602 × 16,602
  4. Step 4: Simplify right side
    7,206x = 275,626,404
  5. Step 5: Solve for x
    x = 275,626,404/7,206
  6. Step 6: Final answer
    x = 38,249.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.