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Finding the Third Proportional to 31,243 and 46,905

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Solution

The third proportional to 31,243 and 46,905 is: 70,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243 : 46,905 = 46,905 : x
  2. Step 2: Convert to fraction form
    31,243/46,905 = 46,905/x
  3. Step 3: Cross multiply
    31,243x = 46,905 × 46,905
  4. Step 4: Simplify right side
    31,243x = 2,200,079,025
  5. Step 5: Solve for x
    x = 2,200,079,025/31,243
  6. Step 6: Final answer
    x = 70,418.30

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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.