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Finding the Third Proportional to 12,812 and 29,650

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Solution

The third proportional to 12,812 and 29,650 is: 68,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 29,650 = 29,650 : x
  2. Step 2: Convert to fraction form
    12,812/29,650 = 29,650/x
  3. Step 3: Cross multiply
    12,812x = 29,650 × 29,650
  4. Step 4: Simplify right side
    12,812x = 879,122,500
  5. Step 5: Solve for x
    x = 879,122,500/12,812
  6. Step 6: Final answer
    x = 68,617.12

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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.