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Finding the Third Proportional to 9,958 and 13,217

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Solution

The third proportional to 9,958 and 13,217 is: 17,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958 : 13,217 = 13,217 : x
  2. Step 2: Convert to fraction form
    9,958/13,217 = 13,217/x
  3. Step 3: Cross multiply
    9,958x = 13,217 × 13,217
  4. Step 4: Simplify right side
    9,958x = 174,689,089
  5. Step 5: Solve for x
    x = 174,689,089/9,958
  6. Step 6: Final answer
    x = 17,542.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.