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Finding the Third Proportional to 12,058 and 29,047

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Solution

The third proportional to 12,058 and 29,047 is: 69,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058 : 29,047 = 29,047 : x
  2. Step 2: Convert to fraction form
    12,058/29,047 = 29,047/x
  3. Step 3: Cross multiply
    12,058x = 29,047 × 29,047
  4. Step 4: Simplify right side
    12,058x = 843,728,209
  5. Step 5: Solve for x
    x = 843,728,209/12,058
  6. Step 6: Final answer
    x = 69,972.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.