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Finding the Third Proportional to 16,242 and 24,483

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Solution

The third proportional to 16,242 and 24,483 is: 36,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 24,483 = 24,483 : x
  2. Step 2: Convert to fraction form
    16,242/24,483 = 24,483/x
  3. Step 3: Cross multiply
    16,242x = 24,483 × 24,483
  4. Step 4: Simplify right side
    16,242x = 599,417,289
  5. Step 5: Solve for x
    x = 599,417,289/16,242
  6. Step 6: Final answer
    x = 36,905.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.