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Finding the Third Proportional to 31,192 and 46,745

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Solution

The third proportional to 31,192 and 46,745 is: 70,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192 : 46,745 = 46,745 : x
  2. Step 2: Convert to fraction form
    31,192/46,745 = 46,745/x
  3. Step 3: Cross multiply
    31,192x = 46,745 × 46,745
  4. Step 4: Simplify right side
    31,192x = 2,185,095,025
  5. Step 5: Solve for x
    x = 2,185,095,025/31,192
  6. Step 6: Final answer
    x = 70,053.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.