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Finding the Third Proportional to 23,562 and 34,910

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Solution

The third proportional to 23,562 and 34,910 is: 51,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562 : 34,910 = 34,910 : x
  2. Step 2: Convert to fraction form
    23,562/34,910 = 34,910/x
  3. Step 3: Cross multiply
    23,562x = 34,910 × 34,910
  4. Step 4: Simplify right side
    23,562x = 1,218,708,100
  5. Step 5: Solve for x
    x = 1,218,708,100/23,562
  6. Step 6: Final answer
    x = 51,723.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.