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Finding the Third Proportional to 16,099 and 29,822

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Solution

The third proportional to 16,099 and 29,822 is: 55,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099 : 29,822 = 29,822 : x
  2. Step 2: Convert to fraction form
    16,099/29,822 = 29,822/x
  3. Step 3: Cross multiply
    16,099x = 29,822 × 29,822
  4. Step 4: Simplify right side
    16,099x = 889,351,684
  5. Step 5: Solve for x
    x = 889,351,684/16,099
  6. Step 6: Final answer
    x = 55,242.67

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.