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Finding the Third Proportional to 14,933 and 32,629

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Solution

The third proportional to 14,933 and 32,629 is: 71,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933 : 32,629 = 32,629 : x
  2. Step 2: Convert to fraction form
    14,933/32,629 = 32,629/x
  3. Step 3: Cross multiply
    14,933x = 32,629 × 32,629
  4. Step 4: Simplify right side
    14,933x = 1,064,651,641
  5. Step 5: Solve for x
    x = 1,064,651,641/14,933
  6. Step 6: Final answer
    x = 71,295.23

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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.