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Finding the Third Proportional to 16,232 and 35,058

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Solution

The third proportional to 16,232 and 35,058 is: 75,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232 : 35,058 = 35,058 : x
  2. Step 2: Convert to fraction form
    16,232/35,058 = 35,058/x
  3. Step 3: Cross multiply
    16,232x = 35,058 × 35,058
  4. Step 4: Simplify right side
    16,232x = 1,229,063,364
  5. Step 5: Solve for x
    x = 1,229,063,364/16,232
  6. Step 6: Final answer
    x = 75,718.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.