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Finding the Third Proportional to 6,025 and 13,237

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Solution

The third proportional to 6,025 and 13,237 is: 29,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025 : 13,237 = 13,237 : x
  2. Step 2: Convert to fraction form
    6,025/13,237 = 13,237/x
  3. Step 3: Cross multiply
    6,025x = 13,237 × 13,237
  4. Step 4: Simplify right side
    6,025x = 175,218,169
  5. Step 5: Solve for x
    x = 175,218,169/6,025
  6. Step 6: Final answer
    x = 29,081.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.