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Finding the Third Proportional to 27,720.75 and 60,807

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Solution

The third proportional to 27,720.75 and 60,807 is: 133,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.75 : 60,807 = 60,807 : x
  2. Step 2: Convert to fraction form
    27,720.75/60,807 = 60,807/x
  3. Step 3: Cross multiply
    27,720.75x = 60,807 × 60,807
  4. Step 4: Simplify right side
    27,720.75x = 3,697,491,249
  5. Step 5: Solve for x
    x = 3,697,491,249/27,720.75
  6. Step 6: Final answer
    x = 133,383.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.