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Finding the Third Proportional to 29,450.25 and 65,433.75

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Solution

The third proportional to 29,450.25 and 65,433.75 is: 145,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,450.25 : 65,433.75 = 65,433.75 : x
  2. Step 2: Convert to fraction form
    29,450.25/65,433.75 = 65,433.75/x
  3. Step 3: Cross multiply
    29,450.25x = 65,433.75 × 65,433.75
  4. Step 4: Simplify right side
    29,450.25x = 4,281,575,639.06
  5. Step 5: Solve for x
    x = 4,281,575,639.06/29,450.25
  6. Step 6: Final answer
    x = 145,383.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.