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Finding the Third Proportional to 10,389 and 13,144.50

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Solution

The third proportional to 10,389 and 13,144.50 is: 16,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389 : 13,144.50 = 13,144.50 : x
  2. Step 2: Convert to fraction form
    10,389/13,144.50 = 13,144.50/x
  3. Step 3: Cross multiply
    10,389x = 13,144.50 × 13,144.50
  4. Step 4: Simplify right side
    10,389x = 172,777,880.25
  5. Step 5: Solve for x
    x = 172,777,880.25/10,389
  6. Step 6: Final answer
    x = 16,630.85

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.