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Finding the Third Proportional to 12,857 and 29,763

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Solution

The third proportional to 12,857 and 29,763 is: 68,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857 : 29,763 = 29,763 : x
  2. Step 2: Convert to fraction form
    12,857/29,763 = 29,763/x
  3. Step 3: Cross multiply
    12,857x = 29,763 × 29,763
  4. Step 4: Simplify right side
    12,857x = 885,836,169
  5. Step 5: Solve for x
    x = 885,836,169/12,857
  6. Step 6: Final answer
    x = 68,899.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.