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Finding the Third Proportional to 31,552 and 67,964

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Solution

The third proportional to 31,552 and 67,964 is: 146,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552 : 67,964 = 67,964 : x
  2. Step 2: Convert to fraction form
    31,552/67,964 = 67,964/x
  3. Step 3: Cross multiply
    31,552x = 67,964 × 67,964
  4. Step 4: Simplify right side
    31,552x = 4,619,105,296
  5. Step 5: Solve for x
    x = 4,619,105,296/31,552
  6. Step 6: Final answer
    x = 146,396.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.