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Finding the Third Proportional to 23,596 and 51,567

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Solution

The third proportional to 23,596 and 51,567 is: 112,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596 : 51,567 = 51,567 : x
  2. Step 2: Convert to fraction form
    23,596/51,567 = 51,567/x
  3. Step 3: Cross multiply
    23,596x = 51,567 × 51,567
  4. Step 4: Simplify right side
    23,596x = 2,659,155,489
  5. Step 5: Solve for x
    x = 2,659,155,489/23,596
  6. Step 6: Final answer
    x = 112,695.18

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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.