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Finding the Third Proportional to 31,236 and 67,650

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Solution

The third proportional to 31,236 and 67,650 is: 146,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236 : 67,650 = 67,650 : x
  2. Step 2: Convert to fraction form
    31,236/67,650 = 67,650/x
  3. Step 3: Cross multiply
    31,236x = 67,650 × 67,650
  4. Step 4: Simplify right side
    31,236x = 4,576,522,500
  5. Step 5: Solve for x
    x = 4,576,522,500/31,236
  6. Step 6: Final answer
    x = 146,514.36

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