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Finding the Third Proportional to 31,791 and 46,700

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Solution

The third proportional to 31,791 and 46,700 is: 68,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791 : 46,700 = 46,700 : x
  2. Step 2: Convert to fraction form
    31,791/46,700 = 46,700/x
  3. Step 3: Cross multiply
    31,791x = 46,700 × 46,700
  4. Step 4: Simplify right side
    31,791x = 2,180,890,000
  5. Step 5: Solve for x
    x = 2,180,890,000/31,791
  6. Step 6: Final answer
    x = 68,600.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.