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Finding the Third Proportional to 49,782 and 67,596

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Solution

The third proportional to 49,782 and 67,596 is: 91,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,782 : 67,596 = 67,596 : x
  2. Step 2: Convert to fraction form
    49,782/67,596 = 67,596/x
  3. Step 3: Cross multiply
    49,782x = 67,596 × 67,596
  4. Step 4: Simplify right side
    49,782x = 4,569,219,216
  5. Step 5: Solve for x
    x = 4,569,219,216/49,782
  6. Step 6: Final answer
    x = 91,784.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.