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Finding the Third Proportional to 14,729 and 31,281

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Solution

The third proportional to 14,729 and 31,281 is: 66,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729 : 31,281 = 31,281 : x
  2. Step 2: Convert to fraction form
    14,729/31,281 = 31,281/x
  3. Step 3: Cross multiply
    14,729x = 31,281 × 31,281
  4. Step 4: Simplify right side
    14,729x = 978,500,961
  5. Step 5: Solve for x
    x = 978,500,961/14,729
  6. Step 6: Final answer
    x = 66,433.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.