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Finding the Third Proportional to 31,545 and 69,651

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Solution

The third proportional to 31,545 and 69,651 is: 153,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545 : 69,651 = 69,651 : x
  2. Step 2: Convert to fraction form
    31,545/69,651 = 69,651/x
  3. Step 3: Cross multiply
    31,545x = 69,651 × 69,651
  4. Step 4: Simplify right side
    31,545x = 4,851,261,801
  5. Step 5: Solve for x
    x = 4,851,261,801/31,545
  6. Step 6: Final answer
    x = 153,788.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.