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Finding the Third Proportional to 29,012 and 44,650

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Solution

The third proportional to 29,012 and 44,650 is: 68,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,012 : 44,650 = 44,650 : x
  2. Step 2: Convert to fraction form
    29,012/44,650 = 44,650/x
  3. Step 3: Cross multiply
    29,012x = 44,650 × 44,650
  4. Step 4: Simplify right side
    29,012x = 1,993,622,500
  5. Step 5: Solve for x
    x = 1,993,622,500/29,012
  6. Step 6: Final answer
    x = 68,717.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.