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Finding the Third Proportional to 14,698 and 31,892

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Solution

The third proportional to 14,698 and 31,892 is: 69,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 31,892 = 31,892 : x
  2. Step 2: Convert to fraction form
    14,698/31,892 = 31,892/x
  3. Step 3: Cross multiply
    14,698x = 31,892 × 31,892
  4. Step 4: Simplify right side
    14,698x = 1,017,099,664
  5. Step 5: Solve for x
    x = 1,017,099,664/14,698
  6. Step 6: Final answer
    x = 69,199.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.