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Finding the Third Proportional to 41,537.81 and 56,322.84

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Solution

The third proportional to 41,537.81 and 56,322.84 is: 76,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537.81 : 56,322.84 = 56,322.84 : x
  2. Step 2: Convert to fraction form
    41,537.81/56,322.84 = 56,322.84/x
  3. Step 3: Cross multiply
    41,537.81x = 56,322.84 × 56,322.84
  4. Step 4: Simplify right side
    41,537.81x = 3,172,262,728.09
  5. Step 5: Solve for x
    x = 3,172,262,728.09/41,537.81
  6. Step 6: Final answer
    x = 76,370.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.