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Finding the Third Proportional to 12,471 and 29,265

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Solution

The third proportional to 12,471 and 29,265 is: 68,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 29,265 = 29,265 : x
  2. Step 2: Convert to fraction form
    12,471/29,265 = 29,265/x
  3. Step 3: Cross multiply
    12,471x = 29,265 × 29,265
  4. Step 4: Simplify right side
    12,471x = 856,440,225
  5. Step 5: Solve for x
    x = 856,440,225/12,471
  6. Step 6: Final answer
    x = 68,674.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.