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Finding the Third Proportional to 26,858 and 57,602

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Solution

The third proportional to 26,858 and 57,602 is: 123,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858 : 57,602 = 57,602 : x
  2. Step 2: Convert to fraction form
    26,858/57,602 = 57,602/x
  3. Step 3: Cross multiply
    26,858x = 57,602 × 57,602
  4. Step 4: Simplify right side
    26,858x = 3,317,990,404
  5. Step 5: Solve for x
    x = 3,317,990,404/26,858
  6. Step 6: Final answer
    x = 123,538.25

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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.