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Finding the Third Proportional to 29,199 and 44,655

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Solution

The third proportional to 29,199 and 44,655 is: 68,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199 : 44,655 = 44,655 : x
  2. Step 2: Convert to fraction form
    29,199/44,655 = 44,655/x
  3. Step 3: Cross multiply
    29,199x = 44,655 × 44,655
  4. Step 4: Simplify right side
    29,199x = 1,994,069,025
  5. Step 5: Solve for x
    x = 1,994,069,025/29,199
  6. Step 6: Final answer
    x = 68,292.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.