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Finding the Third Proportional to 20,631 and 31,459

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Solution

The third proportional to 20,631 and 31,459 is: 47,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631 : 31,459 = 31,459 : x
  2. Step 2: Convert to fraction form
    20,631/31,459 = 31,459/x
  3. Step 3: Cross multiply
    20,631x = 31,459 × 31,459
  4. Step 4: Simplify right side
    20,631x = 989,668,681
  5. Step 5: Solve for x
    x = 989,668,681/20,631
  6. Step 6: Final answer
    x = 47,969.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.