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Finding the Third Proportional to 9,147 and 13,153.50

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Solution

The third proportional to 9,147 and 13,153.50 is: 18,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 13,153.50 = 13,153.50 : x
  2. Step 2: Convert to fraction form
    9,147/13,153.50 = 13,153.50/x
  3. Step 3: Cross multiply
    9,147x = 13,153.50 × 13,153.50
  4. Step 4: Simplify right side
    9,147x = 173,014,562.25
  5. Step 5: Solve for x
    x = 173,014,562.25/9,147
  6. Step 6: Final answer
    x = 18,914.90

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Why These Related Problems?

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