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Finding the Third Proportional to 8,457 and 10,377

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Solution

The third proportional to 8,457 and 10,377 is: 12,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 10,377 = 10,377 : x
  2. Step 2: Convert to fraction form
    8,457/10,377 = 10,377/x
  3. Step 3: Cross multiply
    8,457x = 10,377 × 10,377
  4. Step 4: Simplify right side
    8,457x = 107,682,129
  5. Step 5: Solve for x
    x = 107,682,129/8,457
  6. Step 6: Final answer
    x = 12,732.90

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.