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Finding the Third Proportional to 27,782 and 39,597

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Solution

The third proportional to 27,782 and 39,597 is: 56,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782 : 39,597 = 39,597 : x
  2. Step 2: Convert to fraction form
    27,782/39,597 = 39,597/x
  3. Step 3: Cross multiply
    27,782x = 39,597 × 39,597
  4. Step 4: Simplify right side
    27,782x = 1,567,922,409
  5. Step 5: Solve for x
    x = 1,567,922,409/27,782
  6. Step 6: Final answer
    x = 56,436.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.