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Finding the Third Proportional to 16,405 and 24,242

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Solution

The third proportional to 16,405 and 24,242 is: 35,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405 : 24,242 = 24,242 : x
  2. Step 2: Convert to fraction form
    16,405/24,242 = 24,242/x
  3. Step 3: Cross multiply
    16,405x = 24,242 × 24,242
  4. Step 4: Simplify right side
    16,405x = 587,674,564
  5. Step 5: Solve for x
    x = 587,674,564/16,405
  6. Step 6: Final answer
    x = 35,822.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.