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Finding the Third Proportional to 29,232 and 44,058

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Solution

The third proportional to 29,232 and 44,058 is: 66,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232 : 44,058 = 44,058 : x
  2. Step 2: Convert to fraction form
    29,232/44,058 = 44,058/x
  3. Step 3: Cross multiply
    29,232x = 44,058 × 44,058
  4. Step 4: Simplify right side
    29,232x = 1,941,107,364
  5. Step 5: Solve for x
    x = 1,941,107,364/29,232
  6. Step 6: Final answer
    x = 66,403.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.