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Finding the Third Proportional to 27,985 and 61,058

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Solution

The third proportional to 27,985 and 61,058 is: 133,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985 : 61,058 = 61,058 : x
  2. Step 2: Convert to fraction form
    27,985/61,058 = 61,058/x
  3. Step 3: Cross multiply
    27,985x = 61,058 × 61,058
  4. Step 4: Simplify right side
    27,985x = 3,728,079,364
  5. Step 5: Solve for x
    x = 3,728,079,364/27,985
  6. Step 6: Final answer
    x = 133,217.06

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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.