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Finding the Third Proportional to 10,158 and 13,950

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Solution

The third proportional to 10,158 and 13,950 is: 19,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 13,950 = 13,950 : x
  2. Step 2: Convert to fraction form
    10,158/13,950 = 13,950/x
  3. Step 3: Cross multiply
    10,158x = 13,950 × 13,950
  4. Step 4: Simplify right side
    10,158x = 194,602,500
  5. Step 5: Solve for x
    x = 194,602,500/10,158
  6. Step 6: Final answer
    x = 19,157.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.