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Finding the Third Proportional to 26,823 and 57,340

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Solution

The third proportional to 26,823 and 57,340 is: 122,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823 : 57,340 = 57,340 : x
  2. Step 2: Convert to fraction form
    26,823/57,340 = 57,340/x
  3. Step 3: Cross multiply
    26,823x = 57,340 × 57,340
  4. Step 4: Simplify right side
    26,823x = 3,287,875,600
  5. Step 5: Solve for x
    x = 3,287,875,600/26,823
  6. Step 6: Final answer
    x = 122,576.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.