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Finding the Third Proportional to 34,029 and 50,058

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Solution

The third proportional to 34,029 and 50,058 is: 73,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029 : 50,058 = 50,058 : x
  2. Step 2: Convert to fraction form
    34,029/50,058 = 50,058/x
  3. Step 3: Cross multiply
    34,029x = 50,058 × 50,058
  4. Step 4: Simplify right side
    34,029x = 2,505,803,364
  5. Step 5: Solve for x
    x = 2,505,803,364/34,029
  6. Step 6: Final answer
    x = 73,637.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.