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Finding the Third Proportional to 14,576 and 31,954

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Solution

The third proportional to 14,576 and 31,954 is: 70,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 31,954 = 31,954 : x
  2. Step 2: Convert to fraction form
    14,576/31,954 = 31,954/x
  3. Step 3: Cross multiply
    14,576x = 31,954 × 31,954
  4. Step 4: Simplify right side
    14,576x = 1,021,058,116
  5. Step 5: Solve for x
    x = 1,021,058,116/14,576
  6. Step 6: Final answer
    x = 70,050.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.