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Finding the Third Proportional to 51,957 and 69,336

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Solution

The third proportional to 51,957 and 69,336 is: 92,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957 : 69,336 = 69,336 : x
  2. Step 2: Convert to fraction form
    51,957/69,336 = 69,336/x
  3. Step 3: Cross multiply
    51,957x = 69,336 × 69,336
  4. Step 4: Simplify right side
    51,957x = 4,807,480,896
  5. Step 5: Solve for x
    x = 4,807,480,896/51,957
  6. Step 6: Final answer
    x = 92,528.07

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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.