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Finding the Third Proportional to 27,765 and 58,749

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Solution

The third proportional to 27,765 and 58,749 is: 124,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 58,749 = 58,749 : x
  2. Step 2: Convert to fraction form
    27,765/58,749 = 58,749/x
  3. Step 3: Cross multiply
    27,765x = 58,749 × 58,749
  4. Step 4: Simplify right side
    27,765x = 3,451,445,001
  5. Step 5: Solve for x
    x = 3,451,445,001/27,765
  6. Step 6: Final answer
    x = 124,309.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.