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Finding the Third Proportional to 27,090 and 58,930

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Solution

The third proportional to 27,090 and 58,930 is: 128,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090 : 58,930 = 58,930 : x
  2. Step 2: Convert to fraction form
    27,090/58,930 = 58,930/x
  3. Step 3: Cross multiply
    27,090x = 58,930 × 58,930
  4. Step 4: Simplify right side
    27,090x = 3,472,744,900
  5. Step 5: Solve for x
    x = 3,472,744,900/27,090
  6. Step 6: Final answer
    x = 128,192.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.