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Finding the Third Proportional to 26,893 and 58,586

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Solution

The third proportional to 26,893 and 58,586 is: 127,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,893 : 58,586 = 58,586 : x
  2. Step 2: Convert to fraction form
    26,893/58,586 = 58,586/x
  3. Step 3: Cross multiply
    26,893x = 58,586 × 58,586
  4. Step 4: Simplify right side
    26,893x = 3,432,319,396
  5. Step 5: Solve for x
    x = 3,432,319,396/26,893
  6. Step 6: Final answer
    x = 127,628.73

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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.