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Finding the Third Proportional to 26,893 and 59,094

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Solution

The third proportional to 26,893 and 59,094 is: 129,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,893 : 59,094 = 59,094 : x
  2. Step 2: Convert to fraction form
    26,893/59,094 = 59,094/x
  3. Step 3: Cross multiply
    26,893x = 59,094 × 59,094
  4. Step 4: Simplify right side
    26,893x = 3,492,100,836
  5. Step 5: Solve for x
    x = 3,492,100,836/26,893
  6. Step 6: Final answer
    x = 129,851.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.