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Finding the Third Proportional to 26,538 and 57,358

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Solution

The third proportional to 26,538 and 57,358 is: 123,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 57,358 = 57,358 : x
  2. Step 2: Convert to fraction form
    26,538/57,358 = 57,358/x
  3. Step 3: Cross multiply
    26,538x = 57,358 × 57,358
  4. Step 4: Simplify right side
    26,538x = 3,289,940,164
  5. Step 5: Solve for x
    x = 3,289,940,164/26,538
  6. Step 6: Final answer
    x = 123,970.92

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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.