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Finding the Third Proportional to 26,881 and 57,454

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Solution

The third proportional to 26,881 and 57,454 is: 122,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881 : 57,454 = 57,454 : x
  2. Step 2: Convert to fraction form
    26,881/57,454 = 57,454/x
  3. Step 3: Cross multiply
    26,881x = 57,454 × 57,454
  4. Step 4: Simplify right side
    26,881x = 3,300,962,116
  5. Step 5: Solve for x
    x = 3,300,962,116/26,881
  6. Step 6: Final answer
    x = 122,799.08

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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.