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Finding the Third Proportional to 27,840 and 57,984

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Solution

The third proportional to 27,840 and 57,984 is: 120,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 57,984 = 57,984 : x
  2. Step 2: Convert to fraction form
    27,840/57,984 = 57,984/x
  3. Step 3: Cross multiply
    27,840x = 57,984 × 57,984
  4. Step 4: Simplify right side
    27,840x = 3,362,144,256
  5. Step 5: Solve for x
    x = 3,362,144,256/27,840
  6. Step 6: Final answer
    x = 120,766.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.