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Finding the Third Proportional to 51,948 and 69,329

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Solution

The third proportional to 51,948 and 69,329 is: 92,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 69,329 = 69,329 : x
  2. Step 2: Convert to fraction form
    51,948/69,329 = 69,329/x
  3. Step 3: Cross multiply
    51,948x = 69,329 × 69,329
  4. Step 4: Simplify right side
    51,948x = 4,806,510,241
  5. Step 5: Solve for x
    x = 4,806,510,241/51,948
  6. Step 6: Final answer
    x = 92,525.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.