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Finding the Third Proportional to 8,898 and 13,958

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Solution

The third proportional to 8,898 and 13,958 is: 21,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898 : 13,958 = 13,958 : x
  2. Step 2: Convert to fraction form
    8,898/13,958 = 13,958/x
  3. Step 3: Cross multiply
    8,898x = 13,958 × 13,958
  4. Step 4: Simplify right side
    8,898x = 194,825,764
  5. Step 5: Solve for x
    x = 194,825,764/8,898
  6. Step 6: Final answer
    x = 21,895.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.