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Finding the Third Proportional to 27,008 and 58,088

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Solution

The third proportional to 27,008 and 58,088 is: 124,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008 : 58,088 = 58,088 : x
  2. Step 2: Convert to fraction form
    27,008/58,088 = 58,088/x
  3. Step 3: Cross multiply
    27,008x = 58,088 × 58,088
  4. Step 4: Simplify right side
    27,008x = 3,374,215,744
  5. Step 5: Solve for x
    x = 3,374,215,744/27,008
  6. Step 6: Final answer
    x = 124,933.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.