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Finding the Third Proportional to 14,032 and 30,554

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Solution

The third proportional to 14,032 and 30,554 is: 66,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032 : 30,554 = 30,554 : x
  2. Step 2: Convert to fraction form
    14,032/30,554 = 30,554/x
  3. Step 3: Cross multiply
    14,032x = 30,554 × 30,554
  4. Step 4: Simplify right side
    14,032x = 933,546,916
  5. Step 5: Solve for x
    x = 933,546,916/14,032
  6. Step 6: Final answer
    x = 66,529.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.