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Finding the Third Proportional to 23,596 and 34,948

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Solution

The third proportional to 23,596 and 34,948 is: 51,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596 : 34,948 = 34,948 : x
  2. Step 2: Convert to fraction form
    23,596/34,948 = 34,948/x
  3. Step 3: Cross multiply
    23,596x = 34,948 × 34,948
  4. Step 4: Simplify right side
    23,596x = 1,221,362,704
  5. Step 5: Solve for x
    x = 1,221,362,704/23,596
  6. Step 6: Final answer
    x = 51,761.43

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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.