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Finding the Third Proportional to 29,994.94 and 65,639.44

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Solution

The third proportional to 29,994.94 and 65,639.44 is: 143,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994.94 : 65,639.44 = 65,639.44 : x
  2. Step 2: Convert to fraction form
    29,994.94/65,639.44 = 65,639.44/x
  3. Step 3: Cross multiply
    29,994.94x = 65,639.44 × 65,639.44
  4. Step 4: Simplify right side
    29,994.94x = 4,308,535,755.32
  5. Step 5: Solve for x
    x = 4,308,535,755.32/29,994.94
  6. Step 6: Final answer
    x = 143,642.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.