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Finding the Third Proportional to 27,712 and 57,058

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Solution

The third proportional to 27,712 and 57,058 is: 117,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712 : 57,058 = 57,058 : x
  2. Step 2: Convert to fraction form
    27,712/57,058 = 57,058/x
  3. Step 3: Cross multiply
    27,712x = 57,058 × 57,058
  4. Step 4: Simplify right side
    27,712x = 3,255,615,364
  5. Step 5: Solve for x
    x = 3,255,615,364/27,712
  6. Step 6: Final answer
    x = 117,480.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.