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Finding the Third Proportional to 13,140 and 27,954

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Solution

The third proportional to 13,140 and 27,954 is: 59,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 27,954 = 27,954 : x
  2. Step 2: Convert to fraction form
    13,140/27,954 = 27,954/x
  3. Step 3: Cross multiply
    13,140x = 27,954 × 27,954
  4. Step 4: Simplify right side
    13,140x = 781,426,116
  5. Step 5: Solve for x
    x = 781,426,116/13,140
  6. Step 6: Final answer
    x = 59,469.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.