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Finding the Third Proportional to 26,595 and 57,558

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Solution

The third proportional to 26,595 and 57,558 is: 124,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,595 : 57,558 = 57,558 : x
  2. Step 2: Convert to fraction form
    26,595/57,558 = 57,558/x
  3. Step 3: Cross multiply
    26,595x = 57,558 × 57,558
  4. Step 4: Simplify right side
    26,595x = 3,312,923,364
  5. Step 5: Solve for x
    x = 3,312,923,364/26,595
  6. Step 6: Final answer
    x = 124,569.41

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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.