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Finding the Third Proportional to 29,994 and 44,825.50

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Solution

The third proportional to 29,994 and 44,825.50 is: 66,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994 : 44,825.50 = 44,825.50 : x
  2. Step 2: Convert to fraction form
    29,994/44,825.50 = 44,825.50/x
  3. Step 3: Cross multiply
    29,994x = 44,825.50 × 44,825.50
  4. Step 4: Simplify right side
    29,994x = 2,009,325,450.25
  5. Step 5: Solve for x
    x = 2,009,325,450.25/29,994
  6. Step 6: Final answer
    x = 66,990.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.