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Finding the Third Proportional to 26,851 and 57,158

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Solution

The third proportional to 26,851 and 57,158 is: 121,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,851 : 57,158 = 57,158 : x
  2. Step 2: Convert to fraction form
    26,851/57,158 = 57,158/x
  3. Step 3: Cross multiply
    26,851x = 57,158 × 57,158
  4. Step 4: Simplify right side
    26,851x = 3,267,036,964
  5. Step 5: Solve for x
    x = 3,267,036,964/26,851
  6. Step 6: Final answer
    x = 121,672.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.