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Finding the Third Proportional to 26,790 and 57,468

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Solution

The third proportional to 26,790 and 57,468 is: 123,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790 : 57,468 = 57,468 : x
  2. Step 2: Convert to fraction form
    26,790/57,468 = 57,468/x
  3. Step 3: Cross multiply
    26,790x = 57,468 × 57,468
  4. Step 4: Simplify right side
    26,790x = 3,302,571,024
  5. Step 5: Solve for x
    x = 3,302,571,024/26,790
  6. Step 6: Final answer
    x = 123,276.26

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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.