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Finding the Third Proportional to 12,023 and 26,233

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Solution

The third proportional to 12,023 and 26,233 is: 57,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023 : 26,233 = 26,233 : x
  2. Step 2: Convert to fraction form
    12,023/26,233 = 26,233/x
  3. Step 3: Cross multiply
    12,023x = 26,233 × 26,233
  4. Step 4: Simplify right side
    12,023x = 688,170,289
  5. Step 5: Solve for x
    x = 688,170,289/12,023
  6. Step 6: Final answer
    x = 57,237.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.