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Finding the Third Proportional to 7,720 and 16,202

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Solution

The third proportional to 7,720 and 16,202 is: 34,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 16,202 = 16,202 : x
  2. Step 2: Convert to fraction form
    7,720/16,202 = 16,202/x
  3. Step 3: Cross multiply
    7,720x = 16,202 × 16,202
  4. Step 4: Simplify right side
    7,720x = 262,504,804
  5. Step 5: Solve for x
    x = 262,504,804/7,720
  6. Step 6: Final answer
    x = 34,003.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.