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Finding the Third Proportional to 27,326 and 59,026

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Solution

The third proportional to 27,326 and 59,026 is: 127,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,326 : 59,026 = 59,026 : x
  2. Step 2: Convert to fraction form
    27,326/59,026 = 59,026/x
  3. Step 3: Cross multiply
    27,326x = 59,026 × 59,026
  4. Step 4: Simplify right side
    27,326x = 3,484,068,676
  5. Step 5: Solve for x
    x = 3,484,068,676/27,326
  6. Step 6: Final answer
    x = 127,500.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.