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Finding the Third Proportional to 31,185 and 66,793

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Solution

The third proportional to 31,185 and 66,793 is: 143,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185 : 66,793 = 66,793 : x
  2. Step 2: Convert to fraction form
    31,185/66,793 = 66,793/x
  3. Step 3: Cross multiply
    31,185x = 66,793 × 66,793
  4. Step 4: Simplify right side
    31,185x = 4,461,304,849
  5. Step 5: Solve for x
    x = 4,461,304,849/31,185
  6. Step 6: Final answer
    x = 143,059.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.