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Finding the Third Proportional to 26,272 and 57,010

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Solution

The third proportional to 26,272 and 57,010 is: 123,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 57,010 = 57,010 : x
  2. Step 2: Convert to fraction form
    26,272/57,010 = 57,010/x
  3. Step 3: Cross multiply
    26,272x = 57,010 × 57,010
  4. Step 4: Simplify right side
    26,272x = 3,250,140,100
  5. Step 5: Solve for x
    x = 3,250,140,100/26,272
  6. Step 6: Final answer
    x = 123,711.18

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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.