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Finding the Third Proportional to 26,523 and 57,197

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Solution

The third proportional to 26,523 and 57,197 is: 123,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523 : 57,197 = 57,197 : x
  2. Step 2: Convert to fraction form
    26,523/57,197 = 57,197/x
  3. Step 3: Cross multiply
    26,523x = 57,197 × 57,197
  4. Step 4: Simplify right side
    26,523x = 3,271,496,809
  5. Step 5: Solve for x
    x = 3,271,496,809/26,523
  6. Step 6: Final answer
    x = 123,345.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.