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Finding the Third Proportional to 4,230 and 10,242

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Solution

The third proportional to 4,230 and 10,242 is: 24,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230 : 10,242 = 10,242 : x
  2. Step 2: Convert to fraction form
    4,230/10,242 = 10,242/x
  3. Step 3: Cross multiply
    4,230x = 10,242 × 10,242
  4. Step 4: Simplify right side
    4,230x = 104,898,564
  5. Step 5: Solve for x
    x = 104,898,564/4,230
  6. Step 6: Final answer
    x = 24,798.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.