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Finding the Third Proportional to 2,523 and 6,105

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Solution

The third proportional to 2,523 and 6,105 is: 14,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523 : 6,105 = 6,105 : x
  2. Step 2: Convert to fraction form
    2,523/6,105 = 6,105/x
  3. Step 3: Cross multiply
    2,523x = 6,105 × 6,105
  4. Step 4: Simplify right side
    2,523x = 37,271,025
  5. Step 5: Solve for x
    x = 37,271,025/2,523
  6. Step 6: Final answer
    x = 14,772.50

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.