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Finding the Third Proportional to 27,209 and 58,954

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Solution

The third proportional to 27,209 and 58,954 is: 127,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209 : 58,954 = 58,954 : x
  2. Step 2: Convert to fraction form
    27,209/58,954 = 58,954/x
  3. Step 3: Cross multiply
    27,209x = 58,954 × 58,954
  4. Step 4: Simplify right side
    27,209x = 3,475,574,116
  5. Step 5: Solve for x
    x = 3,475,574,116/27,209
  6. Step 6: Final answer
    x = 127,736.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.