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Finding the Third Proportional to 32,057 and 69,651

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Solution

The third proportional to 32,057 and 69,651 is: 151,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057 : 69,651 = 69,651 : x
  2. Step 2: Convert to fraction form
    32,057/69,651 = 69,651/x
  3. Step 3: Cross multiply
    32,057x = 69,651 × 69,651
  4. Step 4: Simplify right side
    32,057x = 4,851,261,801
  5. Step 5: Solve for x
    x = 4,851,261,801/32,057
  6. Step 6: Final answer
    x = 151,332.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.