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Finding the Third Proportional to 31,583 and 49,269

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Solution

The third proportional to 31,583 and 49,269 is: 76,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583 : 49,269 = 49,269 : x
  2. Step 2: Convert to fraction form
    31,583/49,269 = 49,269/x
  3. Step 3: Cross multiply
    31,583x = 49,269 × 49,269
  4. Step 4: Simplify right side
    31,583x = 2,427,434,361
  5. Step 5: Solve for x
    x = 2,427,434,361/31,583
  6. Step 6: Final answer
    x = 76,858.89

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Why These Related Problems?

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