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Finding the Third Proportional to 26,273 and 57,012

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Solution

The third proportional to 26,273 and 57,012 is: 123,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273 : 57,012 = 57,012 : x
  2. Step 2: Convert to fraction form
    26,273/57,012 = 57,012/x
  3. Step 3: Cross multiply
    26,273x = 57,012 × 57,012
  4. Step 4: Simplify right side
    26,273x = 3,250,368,144
  5. Step 5: Solve for x
    x = 3,250,368,144/26,273
  6. Step 6: Final answer
    x = 123,715.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.