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Finding the Third Proportional to 27,084 and 41,346

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Solution

The third proportional to 27,084 and 41,346 is: 63,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084 : 41,346 = 41,346 : x
  2. Step 2: Convert to fraction form
    27,084/41,346 = 41,346/x
  3. Step 3: Cross multiply
    27,084x = 41,346 × 41,346
  4. Step 4: Simplify right side
    27,084x = 1,709,491,716
  5. Step 5: Solve for x
    x = 1,709,491,716/27,084
  6. Step 6: Final answer
    x = 63,118.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.