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Finding the Third Proportional to 4,935 and 10,689

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Solution

The third proportional to 4,935 and 10,689 is: 23,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935 : 10,689 = 10,689 : x
  2. Step 2: Convert to fraction form
    4,935/10,689 = 10,689/x
  3. Step 3: Cross multiply
    4,935x = 10,689 × 10,689
  4. Step 4: Simplify right side
    4,935x = 114,254,721
  5. Step 5: Solve for x
    x = 114,254,721/4,935
  6. Step 6: Final answer
    x = 23,151.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.