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Finding the Third Proportional to 7,729 and 16,551

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Solution

The third proportional to 7,729 and 16,551 is: 35,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 16,551 = 16,551 : x
  2. Step 2: Convert to fraction form
    7,729/16,551 = 16,551/x
  3. Step 3: Cross multiply
    7,729x = 16,551 × 16,551
  4. Step 4: Simplify right side
    7,729x = 273,935,601
  5. Step 5: Solve for x
    x = 273,935,601/7,729
  6. Step 6: Final answer
    x = 35,442.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.