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Finding the Third Proportional to 13,037 and 28,427

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Solution

The third proportional to 13,037 and 28,427 is: 61,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037 : 28,427 = 28,427 : x
  2. Step 2: Convert to fraction form
    13,037/28,427 = 28,427/x
  3. Step 3: Cross multiply
    13,037x = 28,427 × 28,427
  4. Step 4: Simplify right side
    13,037x = 808,094,329
  5. Step 5: Solve for x
    x = 808,094,329/13,037
  6. Step 6: Final answer
    x = 61,984.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.