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Finding the Third Proportional to 13,037 and 28,101

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Solution

The third proportional to 13,037 and 28,101 is: 60,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037 : 28,101 = 28,101 : x
  2. Step 2: Convert to fraction form
    13,037/28,101 = 28,101/x
  3. Step 3: Cross multiply
    13,037x = 28,101 × 28,101
  4. Step 4: Simplify right side
    13,037x = 789,666,201
  5. Step 5: Solve for x
    x = 789,666,201/13,037
  6. Step 6: Final answer
    x = 60,571.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.