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Finding the Third Proportional to 30,832 and 44,058

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Solution

The third proportional to 30,832 and 44,058 is: 62,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832 : 44,058 = 44,058 : x
  2. Step 2: Convert to fraction form
    30,832/44,058 = 44,058/x
  3. Step 3: Cross multiply
    30,832x = 44,058 × 44,058
  4. Step 4: Simplify right side
    30,832x = 1,941,107,364
  5. Step 5: Solve for x
    x = 1,941,107,364/30,832
  6. Step 6: Final answer
    x = 62,957.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.