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Finding the Third Proportional to 26,871 and 58,521

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Solution

The third proportional to 26,871 and 58,521 is: 127,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871 : 58,521 = 58,521 : x
  2. Step 2: Convert to fraction form
    26,871/58,521 = 58,521/x
  3. Step 3: Cross multiply
    26,871x = 58,521 × 58,521
  4. Step 4: Simplify right side
    26,871x = 3,424,707,441
  5. Step 5: Solve for x
    x = 3,424,707,441/26,871
  6. Step 6: Final answer
    x = 127,449.94

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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.