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Finding the Third Proportional to 6,257 and 13,495

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Solution

The third proportional to 6,257 and 13,495 is: 29,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257 : 13,495 = 13,495 : x
  2. Step 2: Convert to fraction form
    6,257/13,495 = 13,495/x
  3. Step 3: Cross multiply
    6,257x = 13,495 × 13,495
  4. Step 4: Simplify right side
    6,257x = 182,115,025
  5. Step 5: Solve for x
    x = 182,115,025/6,257
  6. Step 6: Final answer
    x = 29,105.81

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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.