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Finding the Third Proportional to 31,518 and 67,272

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Solution

The third proportional to 31,518 and 67,272 is: 143,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518 : 67,272 = 67,272 : x
  2. Step 2: Convert to fraction form
    31,518/67,272 = 67,272/x
  3. Step 3: Cross multiply
    31,518x = 67,272 × 67,272
  4. Step 4: Simplify right side
    31,518x = 4,525,521,984
  5. Step 5: Solve for x
    x = 4,525,521,984/31,518
  6. Step 6: Final answer
    x = 143,585.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.