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Finding the Third Proportional to 13,349 and 28,705

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Solution

The third proportional to 13,349 and 28,705 is: 61,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349 : 28,705 = 28,705 : x
  2. Step 2: Convert to fraction form
    13,349/28,705 = 28,705/x
  3. Step 3: Cross multiply
    13,349x = 28,705 × 28,705
  4. Step 4: Simplify right side
    13,349x = 823,977,025
  5. Step 5: Solve for x
    x = 823,977,025/13,349
  6. Step 6: Final answer
    x = 61,725.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.