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Finding the Third Proportional to 27,026 and 58,210

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Solution

The third proportional to 27,026 and 58,210 is: 125,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026 : 58,210 = 58,210 : x
  2. Step 2: Convert to fraction form
    27,026/58,210 = 58,210/x
  3. Step 3: Cross multiply
    27,026x = 58,210 × 58,210
  4. Step 4: Simplify right side
    27,026x = 3,388,404,100
  5. Step 5: Solve for x
    x = 3,388,404,100/27,026
  6. Step 6: Final answer
    x = 125,375.72

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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.