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Finding the Third Proportional to 27,718 and 60,803

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Solution

The third proportional to 27,718 and 60,803 is: 133,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718 : 60,803 = 60,803 : x
  2. Step 2: Convert to fraction form
    27,718/60,803 = 60,803/x
  3. Step 3: Cross multiply
    27,718x = 60,803 × 60,803
  4. Step 4: Simplify right side
    27,718x = 3,697,004,809
  5. Step 5: Solve for x
    x = 3,697,004,809/27,718
  6. Step 6: Final answer
    x = 133,379.21

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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.