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Finding the Third Proportional to 4,242 and 10,029

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Solution

The third proportional to 4,242 and 10,029 is: 23,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 10,029 = 10,029 : x
  2. Step 2: Convert to fraction form
    4,242/10,029 = 10,029/x
  3. Step 3: Cross multiply
    4,242x = 10,029 × 10,029
  4. Step 4: Simplify right side
    4,242x = 100,580,841
  5. Step 5: Solve for x
    x = 100,580,841/4,242
  6. Step 6: Final answer
    x = 23,710.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.