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Finding the Third Proportional to 31,463 and 49,108

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Solution

The third proportional to 31,463 and 49,108 is: 76,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463 : 49,108 = 49,108 : x
  2. Step 2: Convert to fraction form
    31,463/49,108 = 49,108/x
  3. Step 3: Cross multiply
    31,463x = 49,108 × 49,108
  4. Step 4: Simplify right side
    31,463x = 2,411,595,664
  5. Step 5: Solve for x
    x = 2,411,595,664/31,463
  6. Step 6: Final answer
    x = 76,648.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.