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Finding the Third Proportional to 26,852 and 57,590

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Solution

The third proportional to 26,852 and 57,590 is: 123,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852 : 57,590 = 57,590 : x
  2. Step 2: Convert to fraction form
    26,852/57,590 = 57,590/x
  3. Step 3: Cross multiply
    26,852x = 57,590 × 57,590
  4. Step 4: Simplify right side
    26,852x = 3,316,608,100
  5. Step 5: Solve for x
    x = 3,316,608,100/26,852
  6. Step 6: Final answer
    x = 123,514.38

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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.