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Finding the Third Proportional to 41,431.50 and 64,297.13

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Solution

The third proportional to 41,431.50 and 64,297.13 is: 99,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431.50 : 64,297.13 = 64,297.13 : x
  2. Step 2: Convert to fraction form
    41,431.50/64,297.13 = 64,297.13/x
  3. Step 3: Cross multiply
    41,431.50x = 64,297.13 × 64,297.13
  4. Step 4: Simplify right side
    41,431.50x = 4,134,120,283.27
  5. Step 5: Solve for x
    x = 4,134,120,283.27/41,431.50
  6. Step 6: Final answer
    x = 99,782.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.