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Finding the Third Proportional to 12,147 and 26,565

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Solution

The third proportional to 12,147 and 26,565 is: 58,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 26,565 = 26,565 : x
  2. Step 2: Convert to fraction form
    12,147/26,565 = 26,565/x
  3. Step 3: Cross multiply
    12,147x = 26,565 × 26,565
  4. Step 4: Simplify right side
    12,147x = 705,699,225
  5. Step 5: Solve for x
    x = 705,699,225/12,147
  6. Step 6: Final answer
    x = 58,096.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.