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Finding the Third Proportional to 27,584 and 41,367

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Solution

The third proportional to 27,584 and 41,367 is: 62,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 41,367 = 41,367 : x
  2. Step 2: Convert to fraction form
    27,584/41,367 = 41,367/x
  3. Step 3: Cross multiply
    27,584x = 41,367 × 41,367
  4. Step 4: Simplify right side
    27,584x = 1,711,228,689
  5. Step 5: Solve for x
    x = 1,711,228,689/27,584
  6. Step 6: Final answer
    x = 62,037.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.