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Finding the Third Proportional to 4,606 and 9,758

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Solution

The third proportional to 4,606 and 9,758 is: 20,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 9,758 = 9,758 : x
  2. Step 2: Convert to fraction form
    4,606/9,758 = 9,758/x
  3. Step 3: Cross multiply
    4,606x = 9,758 × 9,758
  4. Step 4: Simplify right side
    4,606x = 95,218,564
  5. Step 5: Solve for x
    x = 95,218,564/4,606
  6. Step 6: Final answer
    x = 20,672.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.