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Finding the Third Proportional to 13,680 and 30,058

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Solution

The third proportional to 13,680 and 30,058 is: 66,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680 : 30,058 = 30,058 : x
  2. Step 2: Convert to fraction form
    13,680/30,058 = 30,058/x
  3. Step 3: Cross multiply
    13,680x = 30,058 × 30,058
  4. Step 4: Simplify right side
    13,680x = 903,483,364
  5. Step 5: Solve for x
    x = 903,483,364/13,680
  6. Step 6: Final answer
    x = 66,044.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.