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Finding the Third Proportional to 4,938 and 10,830

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Solution

The third proportional to 4,938 and 10,830 is: 23,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938 : 10,830 = 10,830 : x
  2. Step 2: Convert to fraction form
    4,938/10,830 = 10,830/x
  3. Step 3: Cross multiply
    4,938x = 10,830 × 10,830
  4. Step 4: Simplify right side
    4,938x = 117,288,900
  5. Step 5: Solve for x
    x = 117,288,900/4,938
  6. Step 6: Final answer
    x = 23,752.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.