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Finding the Third Proportional to 31,233 and 49,955

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Solution

The third proportional to 31,233 and 49,955 is: 79,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233 : 49,955 = 49,955 : x
  2. Step 2: Convert to fraction form
    31,233/49,955 = 49,955/x
  3. Step 3: Cross multiply
    31,233x = 49,955 × 49,955
  4. Step 4: Simplify right side
    31,233x = 2,495,502,025
  5. Step 5: Solve for x
    x = 2,495,502,025/31,233
  6. Step 6: Final answer
    x = 79,899.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.