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Finding the Third Proportional to 27,756 and 62,478

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Solution

The third proportional to 27,756 and 62,478 is: 140,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 62,478 = 62,478 : x
  2. Step 2: Convert to fraction form
    27,756/62,478 = 62,478/x
  3. Step 3: Cross multiply
    27,756x = 62,478 × 62,478
  4. Step 4: Simplify right side
    27,756x = 3,903,500,484
  5. Step 5: Solve for x
    x = 3,903,500,484/27,756
  6. Step 6: Final answer
    x = 140,636.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.