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Finding the Third Proportional to 9,156 and 13,174

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Solution

The third proportional to 9,156 and 13,174 is: 18,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 13,174 = 13,174 : x
  2. Step 2: Convert to fraction form
    9,156/13,174 = 13,174/x
  3. Step 3: Cross multiply
    9,156x = 13,174 × 13,174
  4. Step 4: Simplify right side
    9,156x = 173,554,276
  5. Step 5: Solve for x
    x = 173,554,276/9,156
  6. Step 6: Final answer
    x = 18,955.25

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.