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Finding the Third Proportional to 29,922.19 and 45,504.94

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Solution

The third proportional to 29,922.19 and 45,504.94 is: 69,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922.19 : 45,504.94 = 45,504.94 : x
  2. Step 2: Convert to fraction form
    29,922.19/45,504.94 = 45,504.94/x
  3. Step 3: Cross multiply
    29,922.19x = 45,504.94 × 45,504.94
  4. Step 4: Simplify right side
    29,922.19x = 2,070,699,336.88
  5. Step 5: Solve for x
    x = 2,070,699,336.88/29,922.19
  6. Step 6: Final answer
    x = 69,202.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.