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Finding the Third Proportional to 27,090 and 35,954

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Solution

The third proportional to 27,090 and 35,954 is: 47,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090 : 35,954 = 35,954 : x
  2. Step 2: Convert to fraction form
    27,090/35,954 = 35,954/x
  3. Step 3: Cross multiply
    27,090x = 35,954 × 35,954
  4. Step 4: Simplify right side
    27,090x = 1,292,690,116
  5. Step 5: Solve for x
    x = 1,292,690,116/27,090
  6. Step 6: Final answer
    x = 47,718.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.