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Finding the Third Proportional to 4,632 and 10,948

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Solution

The third proportional to 4,632 and 10,948 is: 25,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 10,948 = 10,948 : x
  2. Step 2: Convert to fraction form
    4,632/10,948 = 10,948/x
  3. Step 3: Cross multiply
    4,632x = 10,948 × 10,948
  4. Step 4: Simplify right side
    4,632x = 119,858,704
  5. Step 5: Solve for x
    x = 119,858,704/4,632
  6. Step 6: Final answer
    x = 25,876.23

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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.