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Finding the Third Proportional to 29,524.50 and 65,549.25

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Solution

The third proportional to 29,524.50 and 65,549.25 is: 145,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.50 : 65,549.25 = 65,549.25 : x
  2. Step 2: Convert to fraction form
    29,524.50/65,549.25 = 65,549.25/x
  3. Step 3: Cross multiply
    29,524.50x = 65,549.25 × 65,549.25
  4. Step 4: Simplify right side
    29,524.50x = 4,296,704,175.56
  5. Step 5: Solve for x
    x = 4,296,704,175.56/29,524.50
  6. Step 6: Final answer
    x = 145,530.13

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