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Finding the Third Proportional to 12,037 and 25,735

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Solution

The third proportional to 12,037 and 25,735 is: 55,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037 : 25,735 = 25,735 : x
  2. Step 2: Convert to fraction form
    12,037/25,735 = 25,735/x
  3. Step 3: Cross multiply
    12,037x = 25,735 × 25,735
  4. Step 4: Simplify right side
    12,037x = 662,290,225
  5. Step 5: Solve for x
    x = 662,290,225/12,037
  6. Step 6: Final answer
    x = 55,021.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.