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Finding the Third Proportional to 9,964 and 13,930

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Solution

The third proportional to 9,964 and 13,930 is: 19,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 13,930 = 13,930 : x
  2. Step 2: Convert to fraction form
    9,964/13,930 = 13,930/x
  3. Step 3: Cross multiply
    9,964x = 13,930 × 13,930
  4. Step 4: Simplify right side
    9,964x = 194,044,900
  5. Step 5: Solve for x
    x = 194,044,900/9,964
  6. Step 6: Final answer
    x = 19,474.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.