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Finding the Third Proportional to 38,710 and 79,058

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Solution

The third proportional to 38,710 and 79,058 is: 161,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710 : 79,058 = 79,058 : x
  2. Step 2: Convert to fraction form
    38,710/79,058 = 79,058/x
  3. Step 3: Cross multiply
    38,710x = 79,058 × 79,058
  4. Step 4: Simplify right side
    38,710x = 6,250,167,364
  5. Step 5: Solve for x
    x = 6,250,167,364/38,710
  6. Step 6: Final answer
    x = 161,461.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.